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

Answer:

Step-by-step explanation:

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

$\frac{y2-y1}{x2-x1}$

When we plug it in we get:

$\frac{-2-10}{9-3}$

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!!!