Question

graph this function:
$y = \frac{5}{2}x + 8$
click to select points on the graph.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=\frac{5}{2}x + 8$:
$y=\frac{5}{2}(0)+8=8$
Point: $(0, 8)$

Step2: Find x-intercept (y=0)

Substitute $y=0$ into $y=\frac{5}{2}x + 8$:
$0=\frac{5}{2}x + 8$
$\frac{5}{2}x=-8$
$x=-8\times\frac{2}{5}=-\frac{16}{5}=-3.2$
Point: $(-3.2, 0)$

Step3: Find a third point (x=2)

Substitute $x=2$ into $y=\frac{5}{2}x + 8$:
$y=\frac{5}{2}(2)+8=5+8=13$
Point: $(2, 13)$

Answer:

Plot the points $(0, 8)$, $(-3.2, 0)$, and $(2, 13)$, then draw a straight line through them to graph the function $y=\frac{5}{2}x + 8$.