Provide an appropriate response.
-Find the standard form of the equation of the line with slope of and passing through (4,4).
A)2x - 7y = 36
B)7x + 2y = - 36
C)2x + 7y = - 36
D)2x + 7y = 36

Question

Provide an appropriate response.
-Find the standard form of the equation of the line with slope of  and passing through (4,4). 
A)2x - 7y = 36 
B)7x + 2y = - 36 
C)2x + 7y = - 36 
D)2x + 7y = 36

Quizplus · Accepted Answer

The standard form of the equation for a line can be written as Ax + By = C, where A, B, and C are integers, and A is positive.
We are given the slope of the line, which is 11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11, and a point on the line, (4,4).
Using the point-slope form of an equation, we can write:
y - 4 = 11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11(x - 4)
Simplifying this equation, we get:
y - 4 = 11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11x - 44
y = 11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11x - 40
Now we can rewrite this equation in standard form:
-11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11x + 7y = -40
Multiplying both sides by -1, we get:
11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11x - 7y = 40
Multiplying both sides by 2, we get:
2x + 7y = 80
So the standard form of the equation of the line with slope of 11ec89ae_ce5f_0043_9d88_256464c2876e_TB6722_11 and passing through (4,4) is 2x + 7y = 80, which is option D.

Provide an Appropriate Response