Question

Help...1. Select two ordered pair points of your own. (Just pick any two points that seem relatively easy to work with.) Be sure to list these points for your instructor. Find the slope and show your work.

Answer 1

Just need someone to help me pick points and then I will solve the slope and then ask you if I got it right

Answer 2

Slope formula is \[\huge\color{red}{\frac{y_1-y_2}{x_1-x_2}=m}~~~~~(m~~is~~the~~slope)\]

Lets choose (2,4) AND (1,-2)

Answer 3

\[\huge\color{red}{\frac{4-(-2)}{2-1}}~~~~->~~~~\huge\color{red}{\frac{6}{1}}\]
So it would be equal to 6.

Answer 4

Okay so the slope is 6 or 6/1

Answer 5

Yes, do you see how I plugged in the points?

Answer 6

yeah you put both of the y's on the top and subtracted them and both the x's on the bottom and subtrcted them

Answer 7

subtracted*

Answer 8

Yes, CORRECT!

Answer 9

Do you want to learn the rest about these equations?

Answer 10

sure what do u got

Answer 11

OK, lets first talk about the y-intercept.

Answer 12

kay

Answer 13

y- intercept is the point on the line where it intersects the y-axis.
For example,

Answer 14

okay

Answer 15

If you want to find and lets say you where given the slope but and one point through which it passes.

Answer 16

(The slope-intercept form) y=mx+b
m= slope (we already know that)
b= y-intercept

So if we have
\[y=4x+b\] and it passes through the point (2,1), to find the y-intercept you would plug in the point.

Answer 17

so 1 would go where the b is ?

Answer 18

I got disconnected, sorry.

Answer 19

Its fine

Answer 20

Look at (x,y) and compare it to (2,1) to plug it into your equation.
\[y=4x+b~~~and~~~i t~~~goes~~~through~~~\color{red} {(2,1)}\]2 is the x coordinate
1 is the y coordinate
\[y=4x+b~~~~~->~~~~~\color{red} {1}=4(\color{red} {2})+b\]\[1=8+b\]\[1\color{red} {-8}=8+b\color{red} {-8}\]\[\color{blue} {7=b}\]

knowing that b=7 we can put it into \[\color{black} {y=4x+b}~~~~~->~~~~~y=4x+\color{blue} {7}\]

Answer 21

See how I fond the y-intercept
(tell me after you go over the explanation)