Answer:
5/4
Step-by-step explanation:
Hi there!
We are given the line 5x-4y=3, and we want to find the slope of it.
The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)
To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)
First, subtract 5x from both sides
5x-4y=3
-5x -5x
____________
-4y = -5x + 3
Divide both sides by -4
[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]
In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.
Hope this helps!
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