Question

the points (10,4) and (3,-3) fall on a particular line. What is it’s equation in slope intercept form? (PLS HELP IM BEGGING)

Answer 1

`y = x - 6`

Explanation:

y = mx + b (slope intercept form)

To find the slope you do:

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

`10 = x1 \\ 4 = y1 \\ 3 = x2 \\ - 3 = y2`

So we put it into the formula:

`( - 3 - 4)/(3 - 10) = ( - 7)/( - 7) = 1`

Our answer is 1, so that is what slope equals: m = 1

Now we can plug in what we have according to the points we were given and slope we figured out. Let's choose the pair of points: (10,4)

`y = mx + b \\ y = 1x + b`

For y, we will put 4. For x, we will put 10.

`4 = 1(10) + b`

Now you just solve for b

1 x 10 is just 10 so now it is:

`4 = 10 + b`

Now subtract 10 from both sides.

4 - 10 equals -6. 10 - 10 cancels itself out so we get this:

`b = - 6`

That's the y-intercept answer.

Final answer is:

`y = x - 6 \: \\ or \\ y = 1x - 6`