must be done in point slope form

## passing through (-6,-4) and (-7,-8) write in slope intercept form

Tutors, please sign in to answer this question.

# 2 Answers

Let us remember that the slope intercept form of an equation equals: y = mx +b, where "m" = slope of the line, and "b"= intercept of the line,

Now, the formula for the slope of a line can be found by, m = (rise)/(run) = (y

_{2}-y_{1) }/ (x_{x}-x_{1})Substituting the values from our two points, we get

m = [(-8)-(-4)] / [(-7)-(-6)] = (-4)/(-1) = 4,

Now, we have that our equation is: y = 4x +b

In order to find the value of "b", we substitute the values of any of the two points in the above formula and solve for "b",

y = 4x + b

-4 = 4(-6) + b

-4 = -24 + b

-4 + 24 = b, therefore, b = 20

So, now our final equation looks like:
y = 4x + 20

Madario, it seems you having a hard time with lines, points, slopes...

Purple math has great explanations for these at

The slope intercept form is

y = mx + b

But you were only given two points on the line, so first you must determine the slope this can be sloved by using the slope formula

m = (y

_{1}-y_{2}) = ((-4)-(-8))/((-6)-(-7)) = ((-4)+8)/((-6)+7) = 4/1 = 4 (x

_{1}-x_{2})now that you have the slope you can determine b, the y intercept, by solving for b using the calculated slope and one of the points

y = mx + b

-4 = 4(-6) + b

-4 = -24 + b

-4 + 24 = -24 + b + 24

20 = b

so you can now substitute in the values for m and b that you calculated

y = 4x + 20