The equation of a line that goes through the points (8, -9) and (-4, 15) is y = -2x + 7
The formula for calculating the equation of a line is expressed as y = mx+ b
m is the slope of the line
b is the y-intercept
Given the coordinate points (8, -9) and (-4, 15)
Get the slope of the line;
[tex]m =\frac{15-(-9)}{-4-8}\\m=\frac{24}{-12} \\m = -2[/tex]
Get the y-intercept of the line
Recall that y = mx + b
15 = -2(-4) + b
b = 15 - 8
b = 7
Get the required equation in the form y = mx + b
y = -2x + 7
Hence the equation of a line that goes through the points (8, -9) and (-4, 15) is y = -2x + 7
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