Question

What is the y-intercept? Give explanation, please.

Answer 1

`y = (4)/(5)x - 2 → y = (4)/(5)x + -2 \\ \\ -2 = b`

Explanation:

First, check the rate of change [slope]:

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

`(-2 + 6)/(-5 + 10) = (4)/(5)`☑

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 = ⅘[10] + b

8

`−2 = b`

`y = (4)/(5)x - 2`

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2 = ⅘[5] + b

4

−2 = b

`y = (4)/(5)x - 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.