What is the equation of the line that passes through (4, -1) and (-2, 3)? 2 x + 3 y - 5 = 0
-2 x + 3 y - 5 = 0
2 x - 3 y - 5 = 0

2x + 3y - 5 = 0

Step-by-step explanation:

(4 , -1)  & (-2,3)

m = -2/3;   (4 , -1)

y - y1 = m(x - x1)

Multiply the equation by 3

3y + 3 = -2x + 8

3y = -2x + 8 - 3

3y = -2x + 5

2x + 3y - 5 = 0

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.