Question

Perpendicular Lines. Slope. (file attached)

Answer 1

I can help guide you in finding the right answer if you wish.
Can you tell me the slope of the line in the problem? y = -10x + 1

Answer 2

-10

Answer 3

Yes. The slope of the perpendicular line will be the negative reciprocal of the slope you just found. So what will be the slope of the perpendicular line?

Answer 4

-1/10?

Answer 5

It should be the negative reciprocal.

Answer 6

1/10

Answer 7

Yes. Slope = 1/10.
The equation of a line in slope intercept form is: y = mx + b
put the value of m
y = 1/10x + b
We are given that the perpendicular line passes through (5,7)
Put x = 5 and y = 7 and solve for b.

Answer 8

b=13/2

Answer 9

Yes. So the equation of the perpendicular line in slope-intercept form is:
y = 1/10x + 13/2
Put this in standard form. Standard form of a line looks like: Ax + By = C

Answer 10

-1/10x+y=13/2

Answer 11

Yes. You can multiply throughout by -1 just to make the coefficient of x positive.

Answer 12

so 1/10x-y=-13/2?

Answer 13

Yes. Does it agree with any of the choices?

Answer 14

yes. its a.

Answer 15

Yes.

Answer 16

thank you

Answer 17

you are welcome. you pretty much did the whole thing yourself.