Question

graph the following equation: y = -1 - 4x

Explanation:

Step1: Rewrite in slope-intercept form

Rearrange to $y = -4x - 1$

Step2: Identify y-intercept

The y-intercept is $b=-1$, so plot $(0, -1)$.

Step3: Use slope to find 2nd point

Slope $m=-4=\frac{-4}{1}$, from $(0,-1)$, move 1 right, 4 down to $(1, -5)$.

Step4: Use slope for 3rd point

From $(0,-1)$, move 1 left, 4 up to $(-1, 3)$.

Step5: Draw line through points

Connect $( -1, 3)$, $(0, -1)$, $(1, -5)$.

Answer:

The line passes through points $(-1, 3)$, $(0, -1)$, and $(1, -5)$, forming a downward-sloping straight line matching $y=-4x-1$.