## jkev1 2 years ago Write an equation of the line that passes through the pair of points. (2,3), (4,-2)? a.y=- 5/2x-1/8 b.y=- 5/2 x-8 c.y= - 5/2x+8 d.y=5/2x+8

1. waterineyes

Find slope first..

2. jkev1

i'm so confused:( @waterineyes

3. waterineyes

Slope is given by: $\huge \color{blue}{Slope = \frac{y_2-y_1}{x_2 - x_1}}$

4. jkev1

Okay

5. waterineyes

Can you find slope now or not?? Just plug in the values, $(x_1,y_1) = (2,3)$ $(x_2,y_2) = (4,-2)$

6. waterineyes

I have to leave now... So, I am solving this for you: $m = \frac{-2-3}{4-2} = \frac{-5}{2}$ The equation with one point and one slope is given by: $\large \color{green}{y - y_1 = m(x - x_1)}$ Putting the first point $$(2,3)$$ in this: $y - 3 = m(x - 2) \implies y - 3 = \frac{-5}{2}(x - 2)$ $y - 3= \frac{-5}{2}x + 5 \implies y = \frac{-5}{2}x + 8$