Question

graph this function:
$y = -\frac{1}{2}x + 2$
click to select points on the graph.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y = -\frac{1}{2}x + 2$:
$y = -\frac{1}{2}(0) + 2 = 2$
Point: $(0, 2)$

Step2: Find x-intercept (y=0)

Set $y=0$ and solve for $x$:
$0 = -\frac{1}{2}x + 2$
$\frac{1}{2}x = 2$
$x = 4$
Point: $(4, 0)$

Step3: Find a third point (x=2)

Substitute $x=2$ into the function:
$y = -\frac{1}{2}(2) + 2 = -1 + 2 = 1$
Point: $(2, 1)$

Answer:

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