Use a determinant to find an equation of the line passing through the points.
(8,8), (-4,-8)

A)4x + 3y + 8 = 0
B)4x + 3y - 8 = 0
C)4x - 3y + 8 = 0
D)4x - 3y - 8 = 0
E)4x - 3y = 0

Question

Use a determinant to find an equation of the line passing through the points. ​
(8,8), (-4,-8)
​
A)4x + 3y + 8 = 0
B)4x + 3y - 8 = 0
C)4x - 3y + 8 = 0
D)4x - 3y - 8 = 0
E)4x - 3y = 0

Quizplus · Accepted Answer

The equation of a line passing through two points, (x1, y1) and (x2, y2), is given by:

(y2 - y1)x + (x1 - x2)y + x2y1 - x1y2 = 0

Using the points (8, 8) and (-4, -8), we get:

(-8 - 8)x + (8 + 4)y + (-4*8) - (8*(-4)) = 0
-16x + 12y + 64 = 0
-4x + 3y + 16 = 0

So the best choice is D, which matches this equation.

Use a Determinant to Find an Equation of the Line