Question

y = -\frac{1}{2}x + 2
x - y = 1
plot two lines by clicking the graph. click a line to delete it.

Explanation:

Step1: Rewrite equations in slope - intercept form

The first equation $y =-\frac{1}{2}x + 2$ is already in slope - intercept form $y=mx + b$ where $m =-\frac{1}{2}$ (slope) and $b = 2$ (y - intercept).
For the second equation $x-y=1$, rewrite it as $y=x - 1$. Here $m = 1$ (slope) and $b=-1$ (y - intercept).

Step2: Find points to plot

For $y =-\frac{1}{2}x + 2$:
When $x = 0$, $y=2$. When $y = 0$, $0=-\frac{1}{2}x + 2$, then $\frac{1}{2}x=2$, $x = 4$. So two points are $(0,2)$ and $(4,0)$.
For $y=x - 1$:
When $x = 0$, $y=-1$. When $y = 0$, $0=x - 1$, $x = 1$. So two points are $(0,-1)$ and $(1,0)$.

Step3: Plot the lines

Plot the points $(0,2)$ and $(4,0)$ and draw a line through them for $y =-\frac{1}{2}x + 2$.
Plot the points $(0,-1)$ and $(1,0)$ and draw a line through them for $y=x - 1$.

Answer:

Plot the points $(0,2),(4,0)$ for $y =-\frac{1}{2}x + 2$ and $(0,-1),(1,0)$ for $y=x - 1$ and draw the lines.