Question

y = 10x + 50.
a. graph the linear equation.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b=50$. This gives the point $(0, 50)$.

Step2: Find second point using slope

Slope $m=10=\frac{10}{1}$. From $(0,50)$, add 1 to $x$ and 10 to $y$: $(0+1, 50+10)=(1,60)$.

Step3: Plot and connect points

Mark $(0,50)$ and $(1,60)$ on the grid, then draw a straight line through them extending to fit the graph.

Answer:

1. Plot the y-intercept at $(0, 50)$.
2. Plot a second point at $(1, 60)$ (using the slope of 10).
3. Draw a straight line through these two points, extending it across the visible grid.