The equation of the line fully simplified in slope intercept form is y = -x + 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?
From the line on the graph, we have the following points:
(2, 0) and (0, 2)
Calculate the slope of the line using
m = (y2 - y1)/(x2 - x1)
This gives
m = (2 - 0)/(0 - 2)
Evaluate
m = -1
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = -1(x -0) + 2
Evaluate
y = -x + 2
Hence, the equation of the line fully simplified in slope intercept form is y = -x + 2
Read more about linear equations at:
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