Question

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.

(x,y) =(3, 10) and (x,y) = (9, -2) are points on a line

Answer 1

Explanation:

Step 1: We must locate the slope, by using the slope formula, which is:

`(y2-y1)/(x2-x1)`

When we plug it in we get:

`(-2-10)/(9-3)`

Which simplifies to a -2

Step 2: We must plug in our values in the point-slope formula which is:

`y-y1=m(x-x1)`

We can plug in (3,10) or (9,-2). It doesn't matter which one, we'll end up with the same answer. For this example, we'll use (3,10)

When we plug in our values we will get:

`y-10=-2(x-3)`

Step 3: Now we just need to put our equation in slope-intercept form

`y-10=-2(x-3)`

`y-10=-2x+6\\y=-2x+16`

Therefore, our answer is
`y=-2x+16`

Hope this helps!!!