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

1. anonymous

@abb0t

2. misssunshinexxoxo

y − 4 = −one half(x + 6)

3. misssunshinexxoxo

@TheDragon do you know point slope intercept form?

4. anonymous

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)

5. anonymous

thanks, and kind of @misssunshinexxoxo

6. abb0t

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 $$\sf \color{red}{y=-\frac{1}{2}x + 1}$$

7. anonymous

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