Question

slope help?

Answer 1

The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?

−5
5
negative 1 over 5
1 over 5

Answer 2

I don't want the answer I want to understand what it means can you help?

Answer 3

Are you sure you want to be known by "dontknowdontcare?"

At this point, you should multiply out (y−3) = 5 (x − 4), and then solve for the slope of this, the original, line.

Once you have that slope, we can obtain the slope of a perpendicular line from it.

Answer 4

sorry about my name I had no idea what to make it so I just made it that because I didn't know or care what my name was but how would you multiply that out?

Answer 5

Multiply out 5 (x − 4) ... using the Distributive Property of Multiplication. In other words, multiply the 'x' and the '4' by 5. Your result? Be certain to include the left side of the original equation as well.

Answer 6

then you would have y-3 = 5x-20 right?

Answer 7

Yes. Good. Now, please solve this latest equation for y.

Answer 8

if you add the 3 to both sides then you would have y= 5x-17? is that right?

Answer 9

\[\huge\rm y-y_1=m(x-x_1)\]
point slope form where *m* is the slope.

not saying that you shouldn't multiply.... that would be a good practice to rewrite equations in y-intercept form

Answer 10

Im still really lost

Answer 11

Sorry, my computer went on the blink and I had to re-boot.

then you would have y-3 = 5x-20 right? Yes, you're right.

Add 3 to both sides: y-3+3 = 5x -20+3

Please simplify this by combining like terms. Your result?

Answer 12

so then y= 5x-17?

Answer 13

Great. Now compare your result to y=mx+b. Can you identify m, the slope of this line?

Answer 14

so the slope would be 5

Answer 15

Yes. Great. Now, the slope of a line perpendicular to your line is the "negative reciprocal" of 5. What's that? Be certain you understand the meaning of "negative reciprocal."

Answer 16

so then C negative 1 over 5

Answer 17

Or A -5?

Answer 18

I think C but i'm not 100%

Answer 19

the new slope, m of the perpendicular line, would be negative 1 over 5, or \[\frac{ -1 }{ 5 }\]

Answer 20

Thank you so much that all made a lot of sense

Answer 21

I'm so glad to hear that. Great day to you!

Answer 22

You too :)

Answer 23

Thank you it was right!