Question

Someone Please Help Quickly! Its an Easy Question

Write the equation of the line fully simplified slope-intercept form.

Answer 1

`y=(2)/(3)x-6`

Explanation:

Use the slope-intercept form:

`y=mx+b`

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

`b=-6`

`y-intercept=(0,-6)`

To find the slope, take any two points from the line:

`(6,-2)(3,-4)`

Use the slope formula for when you have two points:

`(y_(2)-y_(1))/(x_(2)-x_(1))=(rise)/(run)`

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

`(6(x_(1)),-2(y_(1))\\(3(x_(2)),-4(y_(2))`

`(-4-(-2))/(3-6)`

Simplify parentheses (two negatives makes a positive):

`(-4+2)/(3-6)`

`(-2)/(-3)`

Simplify (two negatives make a positive):

`m=(2)/(3)`

The slope is
`(2)/(3)` and the y-intercept is
`-6`. Insert these into the equation:

`y=(2)/(3)x-6`

Finito.