Question

The slope of the line that contains the points (4, 10) and (5, 13) is 3. Find the y-intercept.

A. -26
B. -2
C. 8
D. 34

Answer 1

(0, -2)

Explanation:

You can find the slope of the line by graphing (4,10) and (5,13).

Rise over Run = slope

so down 3, left 1.

y = -3x + -2

y = mx + b

B being the y-intercept

Answer 2

B. -2 [0, -2]

Explanation:

The quickest way to do this is to plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula. It does not matter which ordered pair you choose:

13 = 3[5] + b

15

-2 = b

`y = 3x - 2`

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10 = 3[4] + b

12

-2 = b

`y = 3x - 2`

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.