Question

Can you explain step-by-step how to do numbers 3 and 4?

Answer 1

Given

Two points (-2, 1 ) and ( 2, 3 )

Find

Equation of a line in slope intercept form

Step-by-step explanation

as, slope of a line passing two points is

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

Now, we find slope of a line

`m=(3-1)/(2-(-2))=(2)/(4)=(1)/(2)`

Slope intercept form is

`y=mx+b`

so,

`\begin{gathered} y=(1)/(2)x+b \\ 1=(1)/(2)*(-2)+b \\ 1=-1+b \\ 2=b \end{gathered}`

so, slope intercept form is

`\begin{gathered} y=(1)/(2)x+2 \\ 2y=x+2 \end{gathered}`

Final Answer

Slope intercept form is

`2y-x=2`