Question

14. A line that passes through the point (5,7) has a slope of 3. Which other point is on that line?

Answer 1

(6, 10)

Explanation:

slope =
`(change in y)/(change in x)` =
`(3)/(1)`

to find another point on the line add 3 to the y-coordinate and add 1 to the x-coordinate

(5, 7) → (5 + 1, 7 + 3) → (6, 10) ← other point on line

continue to do this for other points

(6, 10) → (6 + 1, 10 + 3) → (7, 13)

Answer 2

There are no answer choices, so I will just list a few. But first, we need to create the equation.

Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.

So, 7=3*5+b

7=15+b

b = -8

y=3x-8 is your equation.

So, you can plug in any value of x you get a certain value of y.

(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13)