Question

Help please! I don't understand what to do.

Answer 1

y = -4x + 2

Explanation:

Well first we have the equation y = 1/4x + 5.

And we have to find the line that is perpendicular to that line that also passes through the point (0,2) so first we have to graph it. Look at the image below.

So we have to find a line that is perpendicular meaning it crosses y = 1/4x + 5 and makes 4 90° angles.

So to start off we know that 2 is the y intercept.

so our equation looks like this y = ?x + 2

We can keep trying x values till we get it.

But we do know that the x value has to be negative.

So the equation is y = -4x +2. Look at the other image below.

Answer 2

y = -4x + 2

Explanation:

The equation of a line is written in y = mx + b form, where m is the slope and when finding the slope, it is relatively easy finding the y - intercept. To find the slope of a line perpendicular to a line that you already know the slope of, the slope of a perpendicular line is the negative reciprocal. The negative reciprocal of the slope of y = 1/4 x + 5 is -4, which is the slope of the line we are trying to find. Since we have our slope, we can rewrite our equation as y = -4x + b. Now since we already have a point that it passes through, we have our y-intercept. Our y - intercept is the y coordinate when the x coordinate is 0. Since we have our point (0, 2) we have our y - intercept, which is two. Thus, our answer is y = -4x + 2.