I am having a problem with slopes and intercepts problems.

Write each equation in slope-intercept form. Find slope and y-inercept.

3x - y = 14

The first thing you wanna do is get the y one one side of the equation and everything else on the other side:

y=3x-14

Your slope is always the coefficient for x.

A y-intercept is when the line crosses the y-axis, which happens when x=0.