Question

PLEASE HELP ME!!! WORTH 10 POINTS!!!

Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (1, 2). Use the box provided or the upload option to submit all of your calculations and final answer.

Answer 1

First, solve for slope.
Formula for slope:
`(y2-y1)/(x2-x1)`
Plug in values:
`(-2-2)/(-1-1) = - (4)/(2) = 2`
Slope:
`2`
Second, we must plug into point-slope form.
Formula for point-slope:
`y-y1=m(x-x1)`
Plug in the values:
`y-2=2(x-1)`

And there you have your answer in point-slope form

Answer 2

Point-slope formula : y - y₁ = m(x - x₁) ; passes through (1, 2)

We first need to find the slope.

Slope formula : m = y₂-y₁ / x₂-x₁

The graph gives us 2 points : (1, 2) & (-1, -2)

Simply plug everything in! :)

m = -2 - 2 / -1 -1

Simplify.

m = -4/-2

Simplify.

m = 2

So, our slope is 2.

Now that we have the slope as well as a plot, we can plug this into the point-slope formula.

Remember : y - y₁ = m(x - x₁) is the point-slope formula.

m = 2 ; Passes through (1, 2)

Plug everything in :)

y - 2 = 2(x - 1)

~hope I helped!~