Which line has a slope of frac{1}{3} and goes through (3, -1)?

y=1/3x - 2

Step-by-step explanation:

The question asks for the equation of a line with a slope of 1/3 and passes through point (3,-1)

The equation for  the line in the slope intercept form is written as y=mx+c where m is the gradient and c is the y-intercept

But you know m=Δy/Δx  where Δx =x-3  and Δy=y--1

cross-multiply

Divide every term by 3

The line is

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.