Ernie calculated the slope between two pairs of points. He found that the slope between (-1, 4) and (0, 0) is -4. He also found that the slope between (2, 7) and (3, 3) is -4. Ernie concluded that all of these points are on the same line. Use the drop-down menus to complete the statements about Ernie's conclusion.

Both points do not lie on the same line

Step-by-step explanation:

There's no drop down to select from. However, I'll answer the question based on whether Ernie's conclusion is correct or not.

Given

Point 1:

(-1,4) and (0,0)

Slope: m = -4

Point 1:

(2,7) and (3,3)

Slope: m = -4

To determine if this conclusion is right or wrong; first, we need to determine the equation of both points using:

For Point 1

---

---

Slope:

becomes

Add 4 to both sides

For Point 2:

---

---

Slope:

becomes

Add 7 to both sides

Comparing both equations:

and

Both expressions are not equal.

Hence, both points do not lie on the same line

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )