Question

What would the slope of the graph that goes through the two points (0, 4) and (-8, -4) be (show your work)? What would this graph look like? What should the equation of this line be?

Can someone please help me figure out how to do this?

Answer 1

are you familiar with this formula?

\[m = \frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }\]

Answer 2

Yes ma'am/sir

Answer 3

any line has the form

\[y = m(x)+b \]

where m is the slope. the equation above helps you to find the slope which is the change in y with respect to x

Answer 4

so for our two points

(0,4)
(-8,-4)

we must chose our x2 and y2

Answer 5

let's say x2 = -8 and y2 = -4
then x1 = 0 and y1 = 4

then we put this together

\[\frac{ y_{2}-y_{1} }{ x_{2}-x_{1} } = \frac{ -4-4 }{ -8-0 } = \frac{ -8 }{ -8 } = 1\]

Answer 6

so our slope for this would be 1

Answer 7

we can go a step further with this too.

we can actually construct this equation

\[y = m(x)+b \]

b = the y intercept, the point the graph touches the y axis when x = 0.
they gave us (0,4). so our b = 4 and m =1

so the full equation is this.

\[y = x+4 \]

Answer 8

thank you soo much!!! I'm sorry I didn't reply sooner my WiFi is slow