Write an equation of the line passing through the given points. Write the equation in standard form Ax + By = C.
- (-4,0) and (9,-3)
A) -3 x-13y=12
B) 4 x-12y=0
C) 3 x-13y=12
D) -4 x+12y=0

Question

Write an equation of the line passing through the given points. Write the equation in standard form Ax + By = C.
- (-4,0)  and  (9,-3) 
A)  -3 x-13y=12 
B)  4 x-12y=0 
C)  3 x-13y=12 
D)  -4 x+12y=0

Quizplus · Accepted Answer

The slope of the line passing through the points (-4,0) and (9,-3) is -3/13. The equation of the line in standard form is Ax + By = C, where A, B, and C are integers. Substituting the slope and one of the points into the equation, we get -3x + 13y = C. To find the value of C, we substitute the other point into the equation: -3(9) + 13(-3) = C, which gives C = 12. Therefore, the equation of the line in standard form is -3x + 13y = 12.

Write an Equation of the Line Passing Through the Given