Answer:
y = -x +3
Explanation:
You want the equation of the line through the points (-3, 6) and (5, -2) in slope-intercept form.
Slope
The slope can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-2 -6)/(5 -(-3)) = -8/8 = -1
Intercept
The y-intercept can be be found using the formula ...
b = y -mx
b = 6 -(-1)(-3) = 3
Equation
The equation in slope-intercept form is ...
y = mx +b
Using the found values, the equation is...
y = -x +3
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