What line y= 2/3 x - 2 is graphed below. if the system comprised of this line and the line y= -2x + 6 were solved, which of the following would be the y-coordinate of the solution? 1) y=0

2) y=7

3) y=3

4) y=-4

plz help asap thank you in advance!! :)

(1) y = 0

Step-by-step explanation:

This question uses System of Equations to solve it.

Because both equations are equal to y, we can set both of the equations to equal each other and use basic algebra to solve for x:

2/3x -2 = -2x + 6

8/3x -2 = 6

8/3x = 8

x = 3

Because we are looking for the y-coordinate, plug 3 into one of the equations and solve for y (I'm going to use y = -2x + 6):

y = -2(3) + 6

y = -6 + 6

y = 0

That's your answer!

Hope it helps (●'◡'●)

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

i belive those are the ones that are under 90 degreese.