Question

1 graph the equation $3x - 4y = 4$. label the slope and y-intercept of the equation. (a) slope: y-intercept: (b) $3x - 4y = 4$

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation $3x-4y = 4$.
First, we isolate $y$:
Subtract $3x$ from both sides: $-4y=-3x + 4$.
Then divide each term by $-4$: $y=\frac{-3x}{-4}+\frac{4}{-4}$.
Simplify the fractions: $y=\frac{3}{4}x - 1$.

Step2: Identify slope and y - intercept

From the equation $y=\frac{3}{4}x-1$, comparing it with $y = mx + b$, we can see that the slope $m=\frac{3}{4}$ and the y - intercept $b=- 1$.

Answer:

Slope: $\frac{3}{4}$
Y - Intercept: $-1$