Question

graph this line using intercepts:
7x + 4y = -28
click to select points on the graph.

Explanation:

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

Substitute $y=0$ into $7x + 4y = -28$:
$$7x + 4(0) = -28$$
$$7x = -28$$
$$x = \frac{-28}{7} = -4$$
The x-intercept is $(-4, 0)$.

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

Substitute $x=0$ into $7x + 4y = -28$:
$$7(0) + 4y = -28$$
$$4y = -28$$
$$y = \frac{-28}{4} = -7$$
The y-intercept is $(0, -7)$.

Step3: Plot and connect points

Plot $(-4, 0)$ and $(0, -7)$, then draw a straight line through them.

Answer:

The line passes through the x-intercept $(-4, 0)$ and y-intercept $(0, -7)$; connecting these points gives the graph of $7x + 4y = -28$.