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erastovalidia [21]
3 years ago
5

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

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0

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 <em>m</em> is our slope and <em>b</em> 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 <em>m</em> equals 9/14, so our slope is \displaystyle \frac{9}{14}.

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