Question

1. Using the slope-intercept form of a line, find the equation of the line with slope 3/2 and y-intercept –2. Then graph the line on the grid provided and explain how you determined your graph.

Answer 1

You would use rise over run. So you would 3x-2 then 2x-2 which would give you -6 as your x. and -4 for y. then you graph your answer.

Answer 2

The equation of the line is equal to

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

Explanation:

we know that

The equation of the line in slope-intercept form is equal to

`y=mx+b`

where

m is the slope of the line

b is the y-intercept of the line ( value of y when the value of x is equal to zero)

In this problem we have

`m=(3)/(2)`

`b=-2`

so

the equation of the line is equal to

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

To plot the graph find the intercepts of the line

The y-intercept is the point
`(0,-2)`

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

For
`y=0`

`0=(3)/(2)x-2`

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

`x=(4)/(3)`

the x-intercept is the point
`(4/3,0)`

plot the two points and draw the line through the two points

using a graphing tool

see the attached figure