Question

Write a slope-intercept equation for a line passing through the point (10,20) that is perpendicular to y=1/2x+13.. Then write the equation in the form ax+by=c, where a, b, c, are integers and A>0

Answer 1

What is the reciprocal opposite of 1/2?

Answer 2

2/1

Answer 3

-2 right?

Answer 4

Ok that is the slope of the perpendicular line

Answer 5

y=-2x+b is our line

Answer 6

now to find b use the only point we know on that line and plug it in

Answer 7

20=-2(10)+b
Solve for b

Answer 8

40

Answer 9

But how do I put the line in the form of AX+BY=C........

Answer 10

Well we have it in y=mx+b form
So we have y=-2x+40

Just add 2x on both sides :)