Question

graph this function
$y = x + 5$
click to select points on the graph.

Explanation:

Step1: Identify slope-intercept form

The function $y = x + 5$ is in $y=mx+b$ form, where $m=1$ (slope) and $b=5$ (y-intercept).

Step2: Plot y-intercept point

The y-intercept is at $x=0$, so $y=0+5=5$. Point: $(0, 5)$

Step3: Use slope for second point

Slope $\frac{\Delta y}{\Delta x}=1$, so from $(0,5)$, move 1 right, 1 up: $x=1$, $y=1+5=6$. Point: $(1, 6)$

Step4: Draw line through points

Connect $(0,5)$ and $(1,6)$, extend along the grid.

Answer:

The graph is a straight line passing through points $(0, 5)$ and $(1, 6)$, extending infinitely in both directions along the slope of 1.