Answer:
The slope of the line is [tex]\displaystyle \frac{9}{14}[/tex].
Step-by-step explanation:
We are given the line in standard form:
[tex]9x - 14y = 28[/tex]
We need to get this into slope-intercept form in order to determine the slope of the line.
Slope-intercept form is [tex]y = mx + b[/tex], where m is our slope and b is the y-intercept.
Therefore, we need to get:
converted to:
[tex]\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2[/tex]
Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is [tex]\displaystyle \frac{9}{14}[/tex].
