Question

Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)

Answer 1

Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

-4x+y=10

y=4x+10

The opposite reciprocal of the slope is -1/4.

Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

y-y1=m(x-x1)

y-9=-1/4(x-(-4))

y-9=-1/4x-1

y=-1/4x+8