Question

Using slope intercept for, write the equation of the line through each pair of points. (-4, 1) and (-2,-2)

Answer 1

Step-by-step explanation:

Given:

To find the slope intercept form, we use the formula:

y=mx+b

where:

m=slope

b= y intercept

First, we find the slope(m) using the formula:

`m=(y_2-y_1)/(x_2-x_1)`

We plug in what we know.

`\begin{gathered} m=(-2-1)/(-2-(-4)) \\ m=-(3)/(2) \end{gathered}`

Next, use any of the given points ( Ex. Let x= -4, y=1) and m=-3/2, and plug in into y=mx+b.

So,

y=mx+b

1=(-3/2)(-4) +b

Simplify and rearrange

1=6+b

b=1-6

b=-5

Then, plug in m= -3/2 and b= -5 into y=mx+b.

`\begin{gathered} y=mx+b \\ y=-(3x)/(2)-5 \end{gathered}`

Therefore, the slope intercept form is:

`y=-(3x)/(2)-5`