Question

Review not Homework for test need help in number 3

Answer 1

Given for problem 3:

We will find the equation of the line that passes through the points

`(1,-3),(3,1)`

The slope-intercept form is: y = m * x + b

where (m) is the slope, and (b) is the y-intercept

The slope will be calculated as follows:

`\begin{gathered} slope=m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)=(1-(-3))/(3-1)=(4)/(2)=2 \\ m=2 \end{gathered}`

So, the equation will be:

`y=2x+b`

Substitute with (1, -3) and m = 2

The solve for b

`\begin{gathered} -3=2\cdot1+b \\ -3=2+b \\ b=-3-2 \\ b=-5 \end{gathered}`

so, the answer will be the equation of the line is:

`y=2x-5`