Question

Choose the equation that represents the graph below.

y = −2x − 6

y = two thirdsx + 6

y = negative two thirdsx + 6

y = 2x + 6

Answer 1

alright, so do you know that your equations are all in y = mx + b form (slope-intercept form)?

Answer 2

yea

Answer 3

ok, awesome. then in knowing that, hopefully you've been taught what the m and the b stand for

Answer 4

tbh i kinda forgot that's why i'm on here

Answer 5

haha alright, in slope-intercept form, your m=slope (rise/run) and your b = y-intercept

Answer 6

ok well how do we plug all of this in then?

Answer 7

first i would plug in the y-intercept because all you have to do to find that is look at the graph and find which point your line crosses the y-axis

Answer 8

6

Answer 9

ya, correct. so you now know it cant be the first option. now all you need to do is find the slope. for that, most often you will have to find another point, but in your case i would say just use the y-intercept and the x-intercept (point where the line crosses the x-axis) just because its a bit easier that way

Answer 10

so your y-intercept you already found as 6, and you x-intercept would be what?

Answer 11

9

Answer 12

yea exactly so now slope, as i hope youve been taught is another way of saying rise/run. so from (0,0), you went up by 6 and over by -9, now the reason I say its negative and not positive is because your line is going from a higher y value to a lower y value from one end to the other on your graph.

Answer 13

so now you have a fraction that looks like this. \[6/(-9)\]

Answer 14

all you need to do now is simplify that and you have your slope

Answer 15

so y=-2/3x+6 ?

Answer 16

yes exactly :)

Answer 17

thank you so much :)

Answer 18

sure thing