Answer:
y = -5/3x +3
Explanation:
You want the slope-intercept equation of the line through points (-6, 13) and (3, -2).
Slope
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-2 -13)/(3 -(-6)) = -15/9 = -5/3
Intercept
The y-intercept (b) can be found using one of the points and the equation for the line:
y = mx +b
b = y -mx . . . . . subtract mx to solve for b
b = 13 -(-5/3)(-6) = 13 -10 = 3 . . . . . using (x, y) = (-6, 13)
Equation
The equation for the line is y = -5/3x +3.
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