tell me which 4 letters are correct! A? B? C? D? E? F? if you get them right i will give you brainliest!!

B, C, E, F

Skills needed: Linear Equations

Step-by-step explanation:

Select the four points that appear on the line with the given slope and y-intercept. Slope= 2/3 y-intercept= -7 ———— options = A(2,3) B (9,-1) C(0,-7) D(1,7) E(3,-5) F(6,-3)

1) First, let's create an equation with the information given. I prefer slope-intercept form for this, but other forms (such as point-slope) work as well.

---> Slope intercept form is:

We can plug in point values for y and x (and substitute in actual values for b and m) to check if the point is on the line.

2) Let's make the equation:

, as slope is and y-intercept is -7

Now we can plug in coordinate points and check if they work.

3) Plugging in points

Point A has an x-value of 2, y-value of 3

--->

A is not on the line (since both sides are not equal)

Point B has an x-value of 9, y-value of -1

--->

B is a point on the line (since both sides are equal)

*IMPORTANT*

C is a point on the line since it is the y-intercept (the y-intercept is when the x-value is 0). (0, -7) is the y-intercept, since the problem states the y-intercept is -7.

Point D has an x-value of 1, y-value of 7

--->

D is not on the line (since both sides are not equal)

NOW

Using process of elimination, we know that E and F are on the line. This is because A and D are not on the line, and we need to select 4 points. We have B and C, and need two more. E and F are the only ones left, so they must be on the line (you can double-check if needed)

Therefore:

Answer is: B, C, E, F

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