What is the slope of the line: 7x + 4y=10

Change the equation to slope intercept form: y = mx + b. m is slope and b is the y-intercept.

7x+4y=10

subtract 7x

4y=10-7x

divide by 4

y = (10-7x) / 4

y=10/4-7x/4

simplify

y=5/2-7x/4

swap positions for correct form

y = - 7/4x + 5/2

slope = - 7/4