Find an equation of the line that satisfies the given conditions. x-intercept −10; y-intercept 6

Answer 1

I started with the parent function:

y=x

A vertical shift up 6 units would give the correct y intercept of 6. So I updated the equation to:

y=x+6

The slope wasn't correct to give the proper x intercept. Slope of 1 (6/6) meant that the x intercept was -6. Since I needed -10, rise over run would need to be 6/10, not 6/6. Reduced, 6/10=3/5.

The final equation is y=3/5x+6

Answer 2

y-6=m(x-0) m=slope=rise/run=6/10=3/5

point slope formula can use 3/5=m and either of the two intercepts

(y-6)(x-0)=3/5 5y-30=3x