The equation of the line in slope-intercept form is: y = -4/5x - 8/5.
How to Write the Slope-intercept Form Equation of a Line?
Using two points on the line, say, (-2, 0) and (3, -4), follow the steps below to find the equation of the line:
Step 1: Find the slope of the line
Slope (m) = (-4 - 0)/(3 -(-2))
Slope (m) = -4/5
Step 2: Find the y-intercept (b)
Substitute m = -4/5 and (x, y) = (-2, 0) into y = mx + b
0 = -4/5(-2) + b
0 = 8/5 + b
0 - 8/5 = b
b = -8/5
Step 3: Substitute m = -4/5 and b = -8/5 into y = m + b
y = -4/5x - 8/5
Thus, the equation of the line in slope-intercept form is: y = -4/5x - 8/5.
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