Question

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

Answer 1

Answer:

B D E F

Step-by-step explanation:

Answer 2

Answer:

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: $y=mx+b$

$y = yvalues$

$m=slope$

$x=xvalues$

$b=yintercept$

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:

$y = \frac{2}{3}x-7$, as slope is $\frac{2}{3}$ 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

---> $3=\frac{2}{3}*2-7 \\ 3=\frac{4}{3}-7 \\ 3\neq -5\frac{2}{3}$

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

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

---> $-1=\frac{2}{3}*9-7 \\ -1=6-7 \\ -1=-1$

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

---> $7=\frac{2}{3}*1-7 \\ 7=\frac{2}{3}-7 \\ 7 \neq -6\frac{1}{3}$

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