Question

which statement(s) are (are) true regarding the line $y = -4x + 13$?
select all that apply:
$square$ the line has a slope of -13.
$square$ the line has a slope of 4.
$square$ the line passes through the point (-1, 20).
$square$ the line passes through the point (1, -4).
$square$ the line passes through the point (0, 13).

Explanation:

Step1: Check slope of the line

The line is in slope-intercept form $y=mx+b$, where $m$ is slope. For $y=-4x+12$, $m=-12$ is false, $m=4$ is false.

Step2: Verify point $(-1, 16)$

Substitute $x=-1$ into the equation:
$y=-4(-1)+12=4+12=16$. This matches the point.

Step3: Verify point $(1, -4)$

Substitute $x=1$ into the equation:
$y=-4(1)+12=-4+12=8
eq-4$. This does not match.

Step4: Verify point $(0, 12)$

Substitute $x=0$ into the equation:
$y=-4(0)+12=0+12=12$. This matches the point.

Answer:

• The line passes through the point (-1, 16).
• The line passes through the point (0, 12).