Answer:
y = -1.5x +7.5
Explanation:
You want the slope-intercept equation of the line through points (1, 6) and (3, 3).
Slope
The slope of the line is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (3 -6)/(3 -1) = -3/2 = -1.5
Intercept
The y-intercept can be found from the equation ...
y = mx +b
b = y -mx = 6 -(-1.5)(1) = 7.5 . . . . . . using point (x, y) = (1, 6)
Equation
The equation of the line is ...
y = mx +b
y = -1.5x +7.5
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