The equation that has a perpendicular graph to y = -2x and passes through (-2, 3) is y = (1/2)*x + 4
How to find a perpendicular line?
For a line y = a*x + b, we can find a perpendicular line as another that has a slope equal to the opposite of the inverse of the original slope.
In this case, we start with:
y = -2x
Where the slope is -2.
Then, a perpendicular line to this one will be:
y = (1/2)*x + c
Where c can be any real number.
Now, we know that this lie passes through (-2, 3), replacing these values we get:
3 = (1/2)*(-2) + c
3 = -1 + c
3 + 1 = c = 4
So the linear equation is y = (1/2)*x + 4
If you want to learn more about linear equations:
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