Question

Graph the line that contains the point (-3,1) with a slope of 2/3

Answer 1

The graph of the line that contains the point
`(-3,1)` with a slope of 2/3.

Explanation:

As the line contains the point (-3, 1) with a slop 2/3

Given the slop-intercept form of the line equation

y = mx+b

Here,

• m = slope

• b = y-intercept

Substituting the values in the slop-intercept form of the line equation

`y = mx+b`

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

`1 =- 2 + b`

switching sides

`-2+b=1`

`b=3`

Now Substituting the value of
`b=3` in the slop-intercept form of the line equation

`y = mx+b`

`y=(2)/(3) x+3`

Hence, the line of the equation will be:
`y=(2)/(3) x+3`

Therefore, the graph of the line that contains the point
`(-3,1)` with a slope of 2/3.