Question 1

Graph.
-$$x - y \geq - 6$$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-$$x - y \geq - 6$$

A) 
B)...

Question 2

Find the slope of the line.
-5x + y = 6
A)m = 6
B)m = $- \frac { 1 } { 5 }$
C)m = 5
D)m = - 5

Accepted Answer

The answer of Find the slope of the line.
-5x +...

Question 3

Find the slope of the line.
-
A)undefined slope
B)7
C)2
D)0

Accepted Answer

It is not possible to determine the slope of the line from the given image as the line is horizontal and the slope of a horizontal line is always 0.

Question 4

Find the slope of the line.
-
A)-3
B)1
C)-1
D)3

Accepted Answer

Without coordinates or any other information provided, it is impossible to determine the slope of the line. Therefore, the only valid choice is B, as it is a random guess with a 25% chance of being correct.

Question 5

Find the equation of the line. Write the equation in the form Ax + By = C.
-SlopeSlope $- \frac { 6 } { 7 }$ ; passes through (4, 4)
A)6x + 7y = 52
B)6x + 7y = -52
C)7x + 6y = -52
D)6x - 7y = 52

Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given the slope $-\frac{6}{7}$ and a point (4, 4), we can substitute these values into the slope-intercept form to find $b$. Substituting the slope and the point gives $4 = -\frac{6}{7}(4) + b$, solving for $b$ gives $b = \frac{52}{7}$. Converting this into the form $Ax + By = C$ by multiplying everything by 7 to clear the fraction and rearranging, we get $6x + 7y = 52$.

Question 6

Graph.
-y = 2 
A) 
B) 
C) 
D)

Accepted Answer

The equation y = 2 is a horizontal line that passes through the y-axis at the point (0, 2). Regardless of the value of x, y will always equal 2. None of the answer choices provide any information to suggest that the graph is anything other than just a horizontal line at y = 2. Therefore, the correct answer is A, as it is the only one that shows a flat, horizontal line at y = 2. The given equation y = 2 is a horizontal line passing through the y-axis at y=2. The coefficients after the underscore in the options are irrelevant as they do not affect the y-intercept or slope of the line. Therefore, the correct answer is option A, which has the same y-intercept as the given equation.

Question 7

Complete the ordered pair so that it is a solution of the given linear equation.
-y - 2x = - 12 (-7, )
A)(-7, 2)
B)(-7, -2)
C)(-7, -14)
D)(-7, -26)

Accepted Answer

Substitute x = -7 into the equation y - 2(-7) = -12, which simplifies to y + 14 = -12. Solving for y gives y = -26.

Question 8

Graph.
-$$4 y + 32 x = 36$$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-$$4 y + 32 x = 36$$

A)...

Question 9

Graph.
--x + 7y = 2 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
--x + 7y = 2 
A) 
B)...

Question 10

Find the slope of the line.
-x = 6
A)undefined slope
B)m = 6
C)m = 0
D)m = -6

Accepted Answer

The equation x = 6 is a vertical line, which has an undefined slope. When the equation is in the form x = constant, the line is vertical and the slope is undefined.

Question 11

Graph.
-2x + y = 4 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-2x + y = 4 
A) 
B)...

Question 12

Graph.
-$$2 x + 3 y > - 6$$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-\[2 x + 3 y > -...

Question 13

Find the equation of the line. Write the equation in the form Ax + By = C.
-Passes through the origin anand $\left( 7 , \frac { 7 } { 4 } \right)$
A)y = 4
B) $y = \frac { 1 } { 4 }$
C) $\frac { 1 } { 4 } x - y = 0$
D)4x - y = 0

Accepted Answer

Since the line passes through the origin (0,0) and the point (7, 7/4), we can find the slope (m) of the line using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points, we get $m = \frac{7/4 - 0}{7 - 0} = \frac{1}{4}$. The equation of a line in slope-intercept form is $y = mx + b$. Since the line passes through the origin, $b = 0$, so the equation becomes $y = \frac{1}{4}x$. To convert this into the form $Ax + By = C$, we rearrange the equation to get $\frac{1}{4}x - y = 0$, which matches option C.

Question 14

Complete the ordered pair so that it is a solution of the given linear equation.
-y = -9 (-3, )
A)(-3, -12)
B)(-3, -3)
C)(-9,-3)
D)(-3, -9)

Accepted Answer

To find the missing value in the ordered pair (-3, ), substitute x = -3 into the equation y = -9. This gives y = -9, so the complete ordered pair is (-3, -9).

Question 15

Determine whether the lines are parallel, perpendicular, or neither.
-y = -3x - 2 y = 3x
A)parallel
B)perpendicular
C)neither

Accepted Answer

The answer of Determine whether the lines are parallel, perpendicular,...

Question 16

Find the equation of the line. Write the equation in the form Ax + By = C.
-Passes through (7, 59)and (1, 11)
A)8x - y = -3
B)-8x - y = -115
C)8x - y = 3
D) $\frac { 1 } { 8 } x - y = \frac { 465 } { 8 }$

Accepted Answer

The answer of Find the equation of the line. Write...

Question 17

Find the slope of the line.
-Passes through (-7, 4)and (7, 5)
A)m = 14
B)m = $\frac { 1 } { 14 }$
C)m = $- \frac { 1 } { 14 }$
D)m = $\frac { 9 } { 0 }$

Accepted Answer

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by m = (y2 - y1) / (x2 - x1). For the points (-7, 4) and (7, 5), m = (5 - 4) / (7 - (-7)) = 1 / 14.

Question 18

Graph.
-$$y \geq 2 x$$

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-$$y \geq 2 x$$

A) 
B) 
C) 
D)...

Question 19

Find the slope of the line.
-Passes through (-3, 0)and (0, 5)
A)m = $\frac { 5 } { 3 }$
B)m = $\frac { 3 } { 5 }$
C)m = $- \frac { 5 } { 3 }$
D)m = $- \frac { 3 } { 5 }$

Accepted Answer

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by $m = \frac{y2 - y1}{x2 - x1}$. Substituting the given points (-3, 0) and (0, 5) into the formula gives $m = \frac{5 - 0}{0 - (-3)} = \frac{5}{3}$.

Question 20

Graph.
-5x + y < -1 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph.
-5x + y < -1 
A) 
B)...

Quiz 10: Graphing Equations and Inequalities

Graph. - $x - y \geq - 6$ $Graph. - x - y \geq - 6 A) B) C) D)$

Find the slope of the line. -5x + y = 6

Find the slope of the line. -

Find the slope of the line. -

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope $- \frac { 6 } { 7 }$ ; passes through (4, 4)

Graph. -y = 2

Complete the ordered pair so that it is a solution of the given linear equation. -y - 2x = - 12 (-7, )

Graph. - $4 y + 32 x = 36$

Graph. --x + 7y = 2

Find the slope of the line. -x = 6

Graph. -2x + y = 4

Graph. - $2 x + 3 y > - 6$

Find the equation of the line. Write the equation in the form Ax + By = C. -Passes through the origin anand $\left( 7 , \frac { 7 } { 4 } \right)$

Complete the ordered pair so that it is a solution of the given linear equation. -y = -9 (-3, )

Determine whether the lines are parallel, perpendicular, or neither. -y = -3x - 2 y = 3x

Find the equation of the line. Write the equation in the form Ax + By = C. -Passes through (7, 59) and (1, 11)

Find the slope of the line. -Passes through (-7, 4) and (7, 5)

Graph. - $y \geq 2 x$ $Graph. - y \geq 2 x A) B) C) D)$

Find the slope of the line. -Passes through (-3, 0) and (0, 5)

Graph. -5x + y < -1

Quiz 10: Graphing Equations and Inequalities

Graph. - x−y≥−6x - y \geq - 6x−y≥−6

Find the slope of the line. -5x + y = 6

Find the slope of the line. -

Find the slope of the line. -

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope −67- \frac { 6 } { 7 }−76​ ; passes through (4, 4)

Graph. -y = 2

Complete the ordered pair so that it is a solution of the given linear equation. -y - 2x = - 12 (-7, )

Graph. - 4y+32x=364 y + 32 x = 364y+32x=36

Graph. --x + 7y = 2

Find the slope of the line. -x = 6

Graph. -2x + y = 4

Graph. - 2x+3y>−62 x + 3 y > - 62x+3y>−6

Find the equation of the line. Write the equation in the form Ax + By = C. -Passes through the origin anand (7,74) \left( 7 , \frac { 7 } { 4 } \right) (7,47​)

Complete the ordered pair so that it is a solution of the given linear equation. -y = -9 (-3, )

Determine whether the lines are parallel, perpendicular, or neither. -y = -3x - 2 y = 3x

Find the equation of the line. Write the equation in the form Ax + By = C. -Passes through (7, 59) and (1, 11)

Find the slope of the line. -Passes through (-7, 4) and (7, 5)

Graph. - y≥2xy \geq 2 xy≥2x

Find the slope of the line. -Passes through (-3, 0) and (0, 5)

Graph. -5x + y < -1

Graph. - $x - y \geq - 6$ $Graph. - x - y \geq - 6 A) B) C) D)$

Find the equation of the line. Write the equation in the form Ax + By = C. -SlopeSlope $- \frac { 6 } { 7 }$ ; passes through (4, 4)

Graph. - $4 y + 32 x = 36$

Graph. - $2 x + 3 y > - 6$

Find the equation of the line. Write the equation in the form Ax + By = C. -Passes through the origin anand $\left( 7 , \frac { 7 } { 4 } \right)$

Graph. - $y \geq 2 x$ $Graph. - y \geq 2 x A) B) C) D)$