The linear equation that passes through the points (5,-6) and (-5,-4) is:
y = (-1/5)*x + 5
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How to find the equation of the line?</h3>
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the slope is:
a = (y2 - y1)/(x2 - x1)
Here the line passes through (5, -6) and (-5, -4) then the slope is:
a = (-4 + 6)/(-5 - 5) = -2/10 = -1/5
So the line is something like:
y = (-1/5)*x + b
Replacing the values of the point (5, -6) in the equation we get:
-6 = (-1/5)*5 + b
-6 = -1 + b
-6 + 1 = b
5 = b
The linear equation is:
y = (-1/5)*x + 5
Learn more about linear equations:
brainly.com/question/1884491
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