Question

Find an equation of the line perpendicular to the graph.

Answer 1

Answer:

The equation of the line would be y = -1/4x + 2

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

28x - 7y = 9

-7y = -28x + 9

y = 4x - 9/7

Now that we have a slope of 4, we know that the perpendicular slope is -1/4 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

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

y - 1 = 1/4x + 1

y = -1/4x + 2