Question

what is the slope intercept equation for a line passing through these 2 point through: (1.1) and (-1. -3)

Answer 1

The slope-intercept form of an equation of the line is

`y=mx+b`

The slope of the line is

`m=\frac{rise}{\text{run}}=(-3-1)/(-1-1)`
`m=(-4)/(-2)=2`

And the y-intercept of the line is found by using one of the points. Let us use the point (-1, -3) to find the y-intercept:

`-3=2(-1)+b`
`-3=-2+b`
`\textcolor{#FF7968}{\therefore b=-1}`

Hence, the equation of the line is in slope-intercept form is

`y=2x-5.`