Question

Find the equation of a line containing the point (8.3) and has a slope of 5. Write

the equation in slope-intercept form

Answer 1

Y=5x-37 and your all done

Answer 2

`y=5x-37`

Explanation:

So we want to find the equation of a line with a slope of 5 and passes through (8,3).

To do so, we can use the point-slope form. This point-slope form is:

`y-y_1=m(x-x_1)`

Let's let (8,3) be x₁ and y₁ and let's let m equal 5. Therefore:

`y-3=5(x-8)`

Distribute the right:

`y-3=5x-40`

Add 3 to both sides:

`y=5x-37`

That would be our equation in slope-intercept form.

And we're done!