Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

First, we need to use slope formula* to find the slope.

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

I'm going to use this point:

Here is how to find b:

Finally, we put all of it together and we have our equation.

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4