i am confused and lost it says to find slope-intercept form of -5,-6 and 6,3

Answer 1

slope intercept form is y = mx+b where m is slope and b is y-intercept

Slope (m) = (3--6)/(6--5) = 9/11

plug in (x,y) = (6,3) and m = 9/11 into y = mx + b to find b:

3 = 9/11 (6) + b

-21/11 = b

y = 9/11x -21/11

Answer 2

It sounds like you are looking for slope-intercept form of an equation, which is given by:

y=mx+b.

If I read your question right, the 4 numbers you gave must be ordered pairs. They ALWAYS (in a rectangular coordinate system) will be in the form (x, y).

What is m, slope? It's the change of your vertical (y) over the change of your horizontal (x). It does NOT matter which point you start, but you must follow the same direction. There are a few ways to do this:

1. Take the y's 3 - - 6= 9 (subtracting the 2nd from the 1st), then the x's 6 - - 5 = 11. therefore m=9/11
2. from your 1st point plotted on graph paper count up and then over to the next point (up 9 over 11)

Finding the intercept can be tricky, but doable. Use ONE of the points and plug in to find b, (y-intercept)

so using (6, 3) y = mx + b becomes

3 = (9/11)(6) + b ==> b = 3 - 54/11 = 33/11 - 54/11 = -21/11

Therefore, your equation in slope-intercept form is y = (9/11)x - 21/11

checkout my Desmos screen to see what I did, and click on the radio buttons on the left to highlight each step: https://www.desmos.com/calculator/plgktotkig