Answer:
y = -2/3x +22/3
Explanation:
You want the slope-intercept equation of a line through point (2, 6) and parallel to the line through (-2, 5) and (1, 3).
Slope
The slope of the desired line can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -5)/(1 -(-2)) = -2/3
Intercept
The y-intercept of the desired line can be found from ...
b = y -mx
b = 6 -(-2/3)(2) = 18/3 +4/3 = 22/3
Equation
The slope-intercept equation of the line is ...
y = mx +b
y = -2/3x +22/3
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