Question

graph this line using the slope and y-intercept:
$y = -\frac{3}{10}x - 1$
click to select points on the graph.

Explanation:

Step1: Identify y-intercept

The equation is in slope-intercept form $y=mx+b$, where $b$ is the y-intercept. For $y = -\frac{3}{10}x - 1$, $b=-1$. So the y-intercept point is $(0, -1)$.

Step2: Use slope to find second point

Slope $m=-\frac{3}{10}=\frac{\text{rise}}{\text{run}}$. From $(0, -1)$, move 10 units right (run = +10) and 3 units down (rise = -3):
$x = 0 + 10 = 10$, $y = -1 - 3 = -4$.
This gives the second point $(10, -4)$.

Step3: Use slope for third point (optional)

From $(0, -1)$, move 10 units left (run = -10) and 3 units up (rise = +3):
$x = 0 - 10 = -10$, $y = -1 + 3 = 2$.
This gives the third point $(-10, 2)$.

Answer:

Plot the points $(0, -1)$, $(10, -4)$, and $(-10, 2)$, then draw a straight line through them to graph the line $y = -\frac{3}{10}x - 1$.