Chapter 1 - Linear Functions - 1.3 Fundamentals of Graphing and Slope - 1.3 Exercises - Page 52: 58

Slope: $2$ $y$-intercept: $(0,\frac{7}{2})$

Rearrange the equation into slope-intercept form. $-4x+2y=7$ $2y=4x+7$ $y=2x+\frac{7}{2}$ The slope is the coefficient of $x$, and the constant term that is added is the $y$ value in the $y$-intercept of $(0,y)$. Slope: $2$ $y$-intercept: $(0,\frac{7}{2})$