What is the slope and y-intercept of this equation?

2x+4y=14

Equations don't have slopes or y-intercepts, but their graphs might.

Let's solve this equation for 'y', and see whether its graph has them.

2x + 4y = 14

Subtract 2x from each side: 4y = - 2x + 14

Divide each side by 4 : y = - 1/2x + 7/2.

In this form, we can look at the equation, and see immediately that

if we were to draw its graph, then the graph would be a straight line

with slope = - 1/2 and y-intercept = 7/2.