Question

Find an equation of the line perpendicular to the graph of 14x-7=1 that passes through the point at (-2,4)

Answer 1

we know that

If two lines are perpendicular, then the product o their slopes is equal to minus one

so

$m1*m2=-1$

Step 1

Find the slope of the given line

we have

$14x-7=1\\14x=1+7$

$x=8/14$ -------> $x=4/7$

This line is parallel to the y-axis

so

the perpendicular will be parallel to the x-axis

Step 2

The equation of the line perpendicular to the given line is the y-coordinate of the given point

Point $(-2,4)$

the equation is

$y=4$

therefore

the answer is

$y=4$

see the attached figure to better understand the problem