Question

What can be concluded about a line that passes through the points (1, -2) and (4, -2) Check all that apply.

Answer 1

The first one the second one the fourth one and the last one

Answer 2

Answer:  The correct options are

(A) The slope is 0.

(B) The y-intercept is -2.

(C) The line is horizontal.

(D) The equation of the line is y = -2

Step-by-step explanation:  We are given to select the statements that can be concluded about a line that passes through the points (1, -2) and (4, -2).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

$m=\dfrac{d-b}{c-a}.$

So, the slope of the given line is

$m=\dfrac{-2-(-2)}{4-1}=\dfrac{0}{3}=0.$

Since the line passes through the point (1, -2), so its equation will be

$y-(-2)=m(x-1)\\\\\Rightarrow y+2=0(x-1)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.$

Comparing with the slope-intercept form y=mx+c, we get

y-intercept, c = -2.

Also, the line is of the form y = a, which is parallel to the x axis, so the given line is horizontal.

Thus, the correct options are

(A) The slope is 0.

(B) The y-intercept is -2.

(C) The line is horizontal.

(D) The equation of the line is y = -2