What is the slope of the linear function?

Answer:
the slope is [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given: 4y - 7x = 10; solve y
4y - 7x = 10; add 7x to both sides to isolate the 4y variable
4y = 7x + 10; now divide by 4
y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{10}{4}[/tex]; reduce the fraction
y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{5}{2}[/tex]; the slope is