Question

Find the value of x so that the line passing through (-2, 7) and (x, 2) has a slope of

Answer 1

one third

Answer 2

Use slope formula: \(m = \dfrac{y_2-y_1}{x_2-x_1}\)

We have \(x_1 =-2,~~x_2 =x,~~y_1 =7,~~y_2 =2\), right?

So you have \(\dfrac{1}{3} = \dfrac{2-7}{x-(-2)}\)

Try do cross-multiply then solve for x.

Answer 3

13?

Answer 4

I got -17 ?

\(3\cdot-5 = x+2\\~\\-15 = x+2\\~\\x = -17\)

Answer 5

I did -0.33333333333333(x-(-2))=2-7
-0.33333333333333x-0.66666666666666=-5
add 0.66666666666666 to both sides
-0.33333333333333x=-4.33333333333334
divide -0.33333333333333 from both sides
x=13

Answer 6

sorry I used decimals instead of fractions so there are a lot of numbers :/

Answer 7

Wait, slope is \(-\dfrac{1}{3}\), not \(\dfrac{1}{3}\)?

You just said one third.

Answer 8

ya sorry it was negative I think :/