Question

graph y = $\frac{1}{2}x + 3$.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=\frac{1}{2}x + 3$, when $x = 0$, $y=3$. So the y - intercept is the point $(0,3)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=\frac{1}{2}x+3$. Subtract 3 from both sides: $- 3=\frac{1}{2}x$. Multiply both sides by 2 to solve for $x$, we get $x=-6$. So the x - intercept is the point $(-6,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,3)$ and $(-6,0)$ on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

The line has a y - intercept at $(0,3)$ and an x - intercept at $(-6,0)$. Plot these points and draw a line through them.