Question

What is the slope intercept form for the equation of the line provided?

Answer 1

1. The slope intercept form is:

`y=mx+b`

Where
`m` is the slope of the line and
`b` is the intercept with the y-axis.

2. To calculate the slope, you can use the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

Where:

`y_2=-1\\y_1=(15)/(2)\\x_2=(1)/(8)\\x_1=-2`

3. So:

`m=(-1-((15)/(2)))/((1)/(8)-(-2))=-4`

4. Now you must find
`b`. Substitute any of the given points into the equation and solve for
`b`:

`(15)/(2)=-4(-2)+b\\(15)/(2)=8+b\\b=-(1)/(2)`

5. Therefore, the answer is the last option:

`y=-4x-(1)/(2)`