The equation of the line is y = 0.75x - 2
What are linear equations?
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?
A system of linear equations is a collection of at least two linear equations.
In this case, the linear equation has the following points
(8, 4) and (-8, -8)
Calculate the slope of the line using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (-8 - 4)/(-8 - 8)
Evaluate
m = 0.75
The linear equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 0.75(x - 8) + 4
Evaluate the bracket
y = 0.75x - 6 + 4
Evaluate the sum
y = 0.75x - 2
Hence, the equation of the line is y = 0.75x - 2
Read more about linear equations at:
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