Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(3, -9)and (9, 7)
A) $x = 3$
B) $y = \frac { 8 } { 3 } x - 17$
C) $y = - 2 x - 3$
D) $y = \frac { 7 } { 2 } x - \frac { 39 } { 2 }$

Question

Find the equation of the line passing through the indicated two points. Write the equation in slope-intercept form.
-(3, -9)and (9, 7) 
A) $x = 3$
B) $y = \frac { 8 } { 3 } x - 17$
C) $y = - 2 x - 3$
D) $y = \frac { 7 } { 2 } x - \frac { 39 } { 2 }$

Quizplus · Accepted Answer

First, calculate the slope (m) using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$, which gives $m = \frac{7 - (-9)}{9 - 3} = \frac{16}{6} = \frac{8}{3}$. Then, use one of the points and the slope to find the y-intercept (b) using $y = mx + b$. Substituting the point (3, -9) gives $-9 = \frac{8}{3}(3) + b$, solving for b gives $b = -17$. Thus, the equation is $y = \frac{8}{3}x - 17$.

Find the Equation of the Line Passing Through the Indicated x=3x = 3x=3

Find the Equation of the Line Passing Through the Indicated $x = 3$