Question

MEDAL
What is the equation of the line that passes through the points (-3, 2) and (-5, 8)?

3x - y = -11

3x + y = - 7

3x + y = 5

x + 3y = 3

Answer 1

@thomaster

Answer 2

The equation for the slope of a line is: (y2-y1)/(x2-x1)
in this case: (8-(2))/((-5)-(-3)) = (6)/(-2) = -3
so we know our line will have the form y = 3x + c (c is a constant equal to the y intercept)
to find c we plug in one of your 2 points, lets take (-3,2)
therefore: 2 = (-3)(-3) + c
2 = 9 + c
c = -7
hence,
y = (-3)x - 7
or
3x+y = -7

Have a nice day!