Question

The amount of money a student spends at the end of year carnival can be represented by the given equation. Graph the equation on the coordinate plane.

Answer 1

Answer: See the graph attached.

Step-by-step explanation:

The Slope-intercept form of the equation of the line is:

$y=mx+b$

Where "m" is the slope and "b" is the intersection of the line with the y-axis.

Given the equation $y=\frac{1}{2}x+3$, you can identify that:

$m=\frac{1}{2}\\\\b=3$

The line intercepts the y-axis when $x=0$, therefore, you can know that the line passes through the point:

(0,3) → Point of intersection with the y-axis.

Now, substitute $y=0$ and solve for "x" to find the point of intersection with the x-axis:

$0=\frac{1}{2}x+3\\\\-3=\frac{1}{2}x\\\\(-3)(2)=x\\\\x=-6$

Now, you know that the line also passes through the point:

(-6,0) → Point of intersection with the x-axis.

Draw the a line that passes through these points.

Therefore, you get the graph attached.