Answer:
y = 10x - 82
Step-by-step explanation:
y - y = m(x - x)
Plug in the slope and given point and solve for y
y - (-2) = 10(x - 8)
y + 2 = 10x - 80
y = 10x - 82
The linear equation of the line is y + 2 = 10(x - 8) and y = 10x - 82
The slope is given as:
m = 10
The point is given as:
(x1, y1) = (8, -2)
The equation in point slope form is calculated as;
y - y1 = m(x - x1)
So, we have:
y + 2 = 10(x - 8)
Expand
y + 2 = 10x - 80
Subtract 2 from both sides
y = 10x - 82 --- in slope intercept
Hence, the linear equation of the line is y + 2 = 10(x - 8) and y = 10x - 82
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