Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

y = \\frac{3}{2}x + 8 click to select points on the graph.

Question

y = \frac{3}{2}x + 8 click to select points on the graph.

Explanation:

Step1: Find y-intercept (x=0)

Substitute $x=0$ into $y=\frac{3}{2}x + 8$:
$y=\frac{3}{2}(0)+8=8$
Point: $(0, 8)$

Step2: Find second point (x=2)

Substitute $x=2$ into $y=\frac{3}{2}x + 8$:
$y=\frac{3}{2}(2)+8=3+8=11$
Point: $(2, 11)$

Step3: Find third point (x=-2)

Substitute $x=-2$ into $y=\frac{3}{2}x + 8$:
$y=\frac{3}{2}(-2)+8=-3+8=5$
Point: $(-2, 5)$

Answer:

Plot the points $(0, 8)$, $(2, 11)$, and $(-2, 5)$, then draw a straight line through them to graph $y=\frac{3}{2}x + 8$.