Question

Write the equation for the line which passes through the point (-1, 5) and is perpendicular to the graph of y = 2x + 6. Write the equation in slope-intercept form.
Answer

y = 1/2x + 11/2

y = -1/2x + 11/2

y = -1/2x + 9/2

y = -1/2x + 1/2

Answer 1

Well, first, to find a line, we need the slope.

Answer 2

If the line is perpendicular to a line of slope 2, then the slope of OUR line is the negative reciprocal, or -1/2.

Answer 3

Good until now?

Answer 4

I'll keep going, then!

Answer 5

Next, we can use our coordinates and the slope to get our y-intercept. Plugging in, we get 5=-(-1/2)+b --> 5=1/2+b --> b=5-1/2=10/2-1/2=9/2.

Answer 6

So the line is y=-1/2x+9/2.

Answer 7

thanks lol