Question

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

Answer 1

Answer:

$y = \frac{4}{5}x - 2 → y = \frac{4}{5}x + -2 \\ \\ -2 = b$

Step-by-step explanation:

First, check the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-2 + 6}{-5 + 10} = \frac{4}{5}$☑

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

$−2 = b$

$y = \frac{4}{5}x - 2$

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2 = ⅘[5] + b

4

−2 = b

$y = \frac{4}{5}x - 2$

** 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.