Question

What equation represents a line which is perpendicular to the line y=-2/5x + 5

Answer 1

Answer:  y = 5/2 x + 5 or  more clearly:  $y = \frac{5}{2}x+ 5$

Step-by-step explanation:  Slope intercept form y = mx + b

m is the slope, b is the y-intercept

To write the equation for a perpendicular line

Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 2/5 to become 5/2 and change the negative sign to positive.

The resulting equation is y = 5x/2 + 5 or  y = 2.5x + 5