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}}=\frac{-3-1}{-1-1}$$m=\frac{-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

$y=2x-5.$