Question

Help! Write the slope-intercept equation of the lines passing through the point (0,-5) and perpendicular to y=x-4

Answer 1

Okay, so perpendicular means the slope is going to be the opposite reciprocal of the given slope (i.e. if the given slope is 1/4, then the line perpendicular to it will have a slope of -4)

Answer 2

Okay

Answer 3

So if the given line (y=x-4) has a slope of 1 (the coefficient of x), then the slope of the new line will be -1

Answer 4

So the slope is the coefficient of x?

Answer 5

Correct

Answer 6

If you are given the equation of a line in the form y = ax + b, a is the slope of the line, and b is the intercept (since when you plug in 0 for x, you are left with b)

Answer 7

ok

Answer 8

So whenever they give you a line and tell you to find a line that is perpendicular to it, the slope is going to be the opposite reciprocal, and if they tell you to find a line that is parallel to it, the slopes are the same (going in the same direction)

Answer 9

so would this form be correct? y-0= 1(x-(-5)

Answer 10

That's it!

Answer 11

Then you just multiply it out and get it in the form y = ax + b and you are done

Answer 12

I got..y-0 =-1(x-(-5)
y-0=-x+5
y-o+0=-x+5+0
y=-x+5

Answer 13

You're almost there, just made a mistake when factoring:
y - 0 = -1(x - (-5))
y = -1(x + 5)
y = -x - 5

Answer 14

Wow..thanks a lot

Answer 15

No problem!