Question

What is the equation of the line that goes through the points (1,1) and 3,-3)

Answer 1

y = -2x +3

Explanation:

coordinates given (1,1) and (3,-3)

How to find equation? first find slope.

slope formula:

(y2-y1)/(x2-x1)

using this formula:

(-3-1)/(3-1)

-4/2

-2 ........this is slope also refereed as (m) in short form.

Use the formula:

y - y1 = m( x - x1)

using the formula:

y - 1 = -2( x - 1)

y -1 = -2x + 2

y = -2x +3

Answer 2

y = -2x + 3

Explanation:

[]Let us write an equation in slope-intercept form.

-> See attached

-> Our equation will start out as y = x

[] The slope can be found by taking the change in y divided by the change in x

->
`(-3-1)/(3-1)=(-4)/(2)=(-2)/(1)=-2`

-> Now our equation is y = -2x

[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.

-> y = -2x + b

(1) = -2(1) + b

1 = -2 + b

3 = b

-> Now our equation is y = -2x + 3, which is our final answer.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather