Question

Finding the coordinate that yields a given slope The points (7,r) and (11,5) lie on a line with slope 4 . Find the missing coordinate r

Answer 1

Answer: r = -11

Explanation:

Our task is to find the missing coordinate, r.

We're given the following two points:

• (7,r) and (11,5)

We're also given the slope:

• 4

Use the slope formula:

`m=\cfrac{y_2-y_1}{x_2-x_1}`

`4=\cfrac{5-r}{11-7}`

Now we just solve for r.

`4=\cfrac{5-r}{4}`

Multiply both sides by 4:

`16=5-r`

Subtract 5 from both sides:

`11=-r`

Divide both sides by -1:

`-11=r`

Therefore, r = -11.

Answer 2

r=-11

Explanation:

using the formula of slope
`m=y2-y1/x2-x1`, we already know the slope which is m=4 and the rest of the point. Just plug in the values and ultimately you end up with r=-11