Question

What is the slope of the line represented by 9x - 14y = 28?

Answer 1

Answer:

The slope of the line is $\displaystyle \frac{9}{14}$.

Step-by-step explanation:

We are given the line in standard form:

$9x - 14y = 28$

We need to get this into slope-intercept form in order to determine the slope of the line.

Slope-intercept form is $y = mx + b$, where m is our slope and b is the y-intercept.

Therefore, we need to get:

• $9x - 14y = 28$

converted to:

• $y = mx +b$.

$\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2$

Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is $\displaystyle \frac{9}{14}$.