Question

graph this line using intercepts:
x + 2y = -10
click to select points on the graph.

Explanation:

Step1: Find x-intercept (set y=0)

Set $y=0$ in $x + 2y = -10$:
$x + 2(0) = -10$
$x = -10$
x-intercept: $(-10, 0)$

Step2: Find y-intercept (set x=0)

Set $x=0$ in $x + 2y = -10$:
$0 + 2y = -10$
$y = \frac{-10}{2} = -5$
y-intercept: $(0, -5)$

Step3: Plot points and draw line

Plot $(-10, 0)$ and $(0, -5)$, then draw a straight line through them.

Answer:

The line passes through the x-intercept $(-10, 0)$ and y-intercept $(0, -5)$; connecting these two points gives the graph of $x + 2y = -10$.