Question

graph this line:
\\( y - 2 = -\frac{10}{3}x \\)
click to select points on the graph.

Explanation:

Step1: Rewrite to slope-intercept form

Add 2 to both sides:
$$y = -\frac{10}{3}x + 2$$

Step2: Find y-intercept point

When $x=0$, substitute into the equation:
$$y = -\frac{10}{3}(0) + 2 = 2$$
Point: $(0, 2)$

Step3: Find second integer point

Choose $x=3$ to eliminate the fraction:
$$y = -\frac{10}{3}(3) + 2 = -10 + 2 = -8$$
Point: $(3, -8)$

Step4: Find third integer point

Choose $x=-3$:
$$y = -\frac{10}{3}(-3) + 2 = 10 + 2 = 12$$
Point: $(-3, 12)$

Answer:

Plot the points $(0, 2)$, $(3, -8)$, and $(-3, 12)$, then draw a straight line through them to graph the line.