Question

PLEASE HELP IM SUPER STUCK

Answer 1

`y = (1)/(4) x + 9`

Explanation:

All lines take the form

`y = mx + c`

Where m is the gradient (or slope), and c is the y-intercept. To find the gradient if a line perpendicular to another, we must find the negative reciprocal of the other line. The gradient of the line given is -4, so our negative reciprocal is 1/4.

To find our y-intercept, we must find the point where the line crosses the y-axis (in other words, when the X coordinate is 0). Helpfully, the coordinate given is already at this point, so we can simply take the y coordinate from here, and we know our y-intercept is 9. Putting this altogether, our equation is:

`y = (1)/(4) x + 9`