Question

Write the equation of this line in slope-intercept form.​

Answer 1

Slope-Intercept Form:
`y = 2*x -3`

or

Point-intercept form:
`y-(-3)=2(x-0)`

Explanation:

• Method 1: Start from 1 point and then count the rise overrun.

Slope-Intercept Form:
`y=mx+b`

Start from the Y-axis where
`b=-3` then rise/run to the next point. making that our slope.

• Method 2: Using the point-intercept form

Point-intercept form:
`y-y_0=m(x-x_0)`

Solve the slope using the two points.

`(0,-3)` and
`(2,1)` plug those values into the formula. Make
`(x,y)=(0,-3)` and
`(x_0,y_0)=(2,1)`

`-3-1=m(0-2)`

`-4=m(-2)`

`m=-2`

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