Question

1. use the equation of the line to answer the two questions: 2 each 6x - 7y = 84 a. what is the slope? b. what is the y - intercept?

Explanation:

Step1: Rewrite the equation in slope - intercept form $y = mx + b$

First, isolate $y$ in the equation $6x−7y = 84$. Subtract $6x$ from both sides: $-7y=-6x + 84$. Then divide each term by $-7$: $y=\frac{6}{7}x-12$.

Step2: Identify the slope

In the slope - intercept form $y = mx + b$, $m$ is the slope. For $y=\frac{6}{7}x-12$, the slope $m=\frac{6}{7}$.

Step3: Identify the y - intercept

In the slope - intercept form $y = mx + b$, $b$ is the y - intercept. For $y=\frac{6}{7}x-12$, the y - intercept $b=-12$.

Answer:

a. $\frac{6}{7}$
b. $-12$