What is the Y-intercept? Give explanation please

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.

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BasketballEinstein BasketballEinstein · Answer 2 · 2019-10-23T22:55:37+02:00

Answer:

[tex]y = 8x - 26 → y = 8x + -26 \\ \\ -26 = b[/tex]

Step-by-step explanation:

First, check the rate of change [slope]:

[tex]\frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex]

[tex]\frac{2 + 6}{-3 + 4} = \frac{8}{1} = 8[/tex]☑

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

[tex]y = 8x - 26[/tex]

_______________________________________________

−2 = 8[3]+ b

24

−26 = b

[tex]y = 8x - 26[/tex]

** 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.