Question

Write an equation for the line who passes through (-3,1) and (1,3)

Answer 1

Step-by-step explanation:

y= r/2 + 3/4

Answer 2

Given:

Two points are given as (-3,1) and (1,3)

`\begin{gathered} (x_1,y_1)=\left(-3,1\right) \\ (x_2,y_2)=\left(1,3\right) \end{gathered}`

Required:

We want to write an equation which passes through the given points

Step-by-step explanation:

First we need to find the slope of the required line

`m=(y_2-y_1)/(x_2-x_1)=(3-1)/(1-(-3))=(2)/(4)=(1)/(2)`

The equation of is

`\begin{gathered} y-y_1=m(x-x_1) \\ y-1=(x)/(2)+(3)/(2) \\ \\ y=(x)/(2)+(5)/(2) \end{gathered}`

Final answer:

`y=(x)/(2)+(5)/(2)`