Question

find the x-intercept and y-intercept of the line.
$3x + 2y = -4$
x-intercept:
y-intercept:

Explanation:

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

Substitute $y=0$ into $3x+2y=-4$:
$$3x + 2(0) = -4$$
$$3x = -4$$
$$x = -\frac{4}{3}$$

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

Substitute $x=0$ into $3x+2y=-4$:
$$3(0) + 2y = -4$$
$$2y = -4$$
$$y = -2$$

Answer:

x-intercept: $-\frac{4}{3}$
y-intercept: $-2$