Answer:
y = 2/5x + 4/5
Step-by-step explanation:
To solve for the equation of line perpendicular to line m, we need to get the slope of line m first.
We can do this by counting down the change between the marked points.
So, starting at (-2,2), we go down 5 units and 2 units to the left.
That means our slope would be -5/2
m = -5/2
to get the slope perpendicular to this, we just need to take a reciprocal and multiply it by a negative
since it's already negative, the slope would become
mp = 2/5
the equation of the line is then:
y = 2/5x + b
we can solve for b by plugging in the condition that the line has to pass to through the point (3,2)
2 = 2/5(3) + b
2 = 6/5 + b
2 - 6/5 = b
b = 4/5
so the final equation is:
y = 2/5x + 4/5
