Question

graph this function: y = x - 6 click to select points on the graph.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=x-6$:
$y=0-6=-6$
Point: $(0, -6)$

Step2: Find x-intercept (y=0)

Substitute $y=0$ into $y=x-6$:
$0=x-6 \implies x=6$
Point: $(6, 0)$

Step3: Find a third point

Substitute $x=3$ into $y=x-6$:
$y=3-6=-3$
Point: $(3, -3)$

Answer:

Plot the points $(0, -6)$, $(6, 0)$, and $(3, -3)$, then draw a straight line through them to graph $y=x-6$.