Question

Choose the point-slope form of the equation below that represents the line that passes through the points (-6, 4) and (2, 0).

Answer 1

@abb0t

Answer 2

y − 4 = −one half(x + 6)

Answer 3

@TheDragon do you know point slope intercept form?

Answer 4

The choices are

y - 4 = -1/2 (x + 6)

y - 4 = 2 (x + 6)

y + 6 = -1/2 (x - 4)

y + 6 = 2 (x - 4)

Answer 5

thanks, and kind of @misssunshinexxoxo

Answer 6

For this one, you do \(\sf \large \color{blue}{\frac{y_2-y_1}{x_2-x_1}}\)
and then plug it into the point-slope equation:

So you get \(\large \frac{0-4}{2+6 } = \frac{-4}{8} = \frac{-1}{2} \)
so your slope is \(-\frac{1}{2}\)
now pick any point, i will pick second one

y - 0 = \(\frac{1}{2}\)(x-2)

or more simplified y = -\(\frac{1}{2}\)(x-2) which is the same thing as \(\sf \color{red}{y=-\frac{1}{2}x + 1}\)

Answer 7

Thank you @abb0t can you help me on another question?