Question

What is the Y-intercept? Give explanation please

Answer 1

`y = 8x - 26 → y = 8x + -26 \\ \\ -26 = b`

Explanation:

First, check the rate of change [slope]:

`(-y_1 + y_2)/(-x_1 + x_2) = m`

`(2 + 6)/(-3 + 4) = (8)/(1) = 8`☑

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula, to get it done much swiftly. It does not matter which ordered pair you choose:

6 = 8[4] + b

32

−26 = b

`y = 8x - 26`

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−2 = 8[3]+ b

24

−26 = b

`y = 8x - 26`

** 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.

Answer 2

-26 is the y-intercept

Explanation:

since you already have the slope solved, you just have to plug in one of the two coordinate pairs. i plugged it (4,6) since it didnt have any negatives to work with. 6 should be where y is and 4 is x. you now should solve it as a normal equation. it gave me -26.