Question

find the y-intercept and the slope of the line.
3x - 4y = -12
write your answers in simplest form.
y -intercept:
slope:

Explanation:

Step1: Rearrange to slope-intercept form

Start with the given equation:
$$3x - 4y = -12$$
Subtract $3x$ from both sides:
$$-4y = -3x - 12$$

Step2: Solve for y (isolate variable)

Divide all terms by $-4$:
$$y = \frac{-3x}{-4} + \frac{-12}{-4}$$
Simplify the fractions:
$$y = \frac{3}{4}x + 3$$

Step3: Identify slope and y-intercept

Slope-intercept form is $y=mx+b$, where $m$ is slope and $b$ is y-intercept.
From $y = \frac{3}{4}x + 3$, $m=\frac{3}{4}$ and $b=3$.

Answer:

y-intercept: $3$
slope: $\frac{3}{4}$