Question

HELP!!

Which of the following equations describe the line shown below? check all that apply.

Line and answers: https://i.gyazo.com/0fa8295a47d9733ba85e937e94fb9320.png

Answer 1

if I were you @lilkg77 I would use those two points given in that figure to find out the slope do you know how to this?

Answer 2

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

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

Answer 3

Slope is 1/2

Answer 4

I think

Answer 5

show me how you got that

Answer 6

Same way you just did it up there

Answer 7

I think what you can do next is now you know your slope is 1/2 you can then find the x intercept. judging by your graph you can see that when y = 0 x = -6

and then you can also find the y intercept too. this is when x = 0. when x = 0 y = 3

so in your equation

your b value is 3.

y = m(x)+b


y = 1/2(x)+3

now you just need to find what equation satisfies this in your answer choices.

We know that our slope is 1/2 so we can ignore the other choices except A,E,F.

you know your b value must be 3 so you can just do some algebra.

Let's try A

y - 7 = 0.5(x-8)

y = 0.5x-4+7

y = 0.5x+3

A works as well.

Now E



y-4 = 0.5(x-2)

y-4 = 0.5x-1
+4

y = 0.5x+3


E works


Let's try F

y-2 = 0.5(x-4)

y-2 = 0.5x-2
+2 +2

y = 0.5x this doesn't work.

Answer 8

Ohhh i think i understand now, thanks :) @Photon336

Answer 9

@lilkg77 the b value tells you the y intercept this is when the graph hits the y axis and this is when x = 0.

y = m(x)+b

m = the slope that's your change in y with respect to x.

Answer 10

Be sure to remember that when they draw out the graph for you you can basically construct the equation of the line from that formula. knowing the slope formula too and any two points. This method is better than just plugging in the numbers because that would take too long in this case.

Answer 11

Yeah i didn't want to do it that way. But the formula you just showed me makes it easier @Photon336

Answer 12

yeah no problem