Use a determinant to find an equation of the line passing through the points.
(-5,3), (1,1)

A)2x -6y + 8 = 0
B)2x + 6y + 8 = 0
C)2x -6y - 8 = 0
D)2x + 6y - 8 = 0
E)2x + 6y - 8 = 5

Question

Use a determinant to find an equation of the line passing through the points. ​
(-5,3), (1,1)
​
A)2x -6y + 8 = 0
B)2x + 6y + 8 = 0
C)2x -6y - 8 = 0
D)2x + 6y - 8 = 0
E)2x + 6y - 8 = 5

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 (-5,3) and (1,1), we get:
(1 - 3)x + (-5 - 1)y + (-5*1 - (-5)*3) = 0
Simplifying and rearranging, we get:
2x + 6y - 8 = 0
Therefore, the correct choice is D.

Use a Determinant to Find an Equation of the Line