Answer:
The slope is [tex]m=(7/4)[/tex]
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have
[tex]7x-4y=10[/tex]
so
Convert to slope intercept form
Isolate the variable y
[tex]4y=7x-10[/tex]
[tex]y=(7/4)x-(10/4)[/tex]
[tex]y=(7/4)x-(5/2)[/tex]
The slope is [tex]m=(7/4)[/tex]
