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

Question

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

anonymous · Answer

Find slope first..

anonymous · Answer

i'm so confused:( @waterineyes

anonymous · Answer

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

anonymous · Answer

Okay

anonymous · Answer

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

anonymous · Answer

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:

$$y - 3 = m(x - 2) \implies y - 3 = \frac{-5}{2}(x - 2)$$

$$y - 3= \frac{-5}{2}x + 5 \implies y = \frac{-5}{2}x + 8$$