Question

graph these equations:$y = x + 6$$y = x + 6$click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation $y = x + 6$ is in slope-intercept form $y=mx+b$, where $b=6$. So the y-intercept is the point $(0, 6)$.

Step2: Find a second point

Use slope $m=1$ (rise 1, run 1). Start from $(0,6)$, add 1 to $x$ and 1 to $y$: $(0+1, 6+1)=(1,7)$. Alternatively, use $x=-6$: $y=-6+6=0$, so the x-intercept is $(-6, 0)$.

Step3: Plot and connect points

Plot $(0,6)$ and $(-6,0)$ (or $(1,7)$), then draw a straight line through them. Since both equations are identical, they graph as the same line.

Answer:

The graph is a straight line passing through points such as $(-6, 0)$ and $(0, 6)$, extending infinitely in both directions.