How do you find the slope and y intersect of a function. problem is attached!

Question

amy2012 · Answer

attachment

kittiwitti1 · Answer

first find the slope.
given two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$$$\Large{m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}$$next, the point-slope formula, which is $$y-y_{1}=m(x-x_{1})$$In this formula you can use either of the points you were given.
Input the respective values, then simplify so you get the equation form below:$$y=mx+b$$$b$ is the y-intercept.

kittiwitti1 · Answer

I have to go now, hope that was helpful! good luck :)

danjs · Answer

you get it?

amy2012 · Answer

@DanJS I understand how to do y−y 1 =m(x−x 1 ) ...I don't know what points listed go where.

danjs · Answer

They give you two inputs to the function y=f(x), x=5 and x=10

f(5) = -6    and    f(10) = -1

Those are the points (5 , -6)  and (10 , -1)

danjs · Answer

You calculate the slope of a line through those 2 points from difference in Y over Difference in X coordinates...rise/run,   the order you call point 1 or 2 doesnt matter, it comes out the same..
$$m=\frac{ -6 - (-1) }{ 5 - 10 } = \frac{ -5 }{ -5 }=1 $$
same as
$$m=\frac{ -1 - (-6) }{ 10 - 5 } =\frac{ 5 }{ 5 }=1$$

danjs · Answer

Also, for the line equation, 

$$y-y_{1}=m(x-x_{1})$$

you can use either point for (x1,y1), just has to be some point on the line.