## Introductory Algebra for College Students (7th Edition)

The statement is false. We make it a true statement by changing it in the following way: The line $2y = 3x + 7$ has a y-intercept of $\frac{7}{2}$.
To figure out the y-intercept of the equation, we should change the equation into the slope-intercept form to easily figure out the y-intercept: The slope-intercept form of an equation is given as: $$y = mx + b$$ where $b$ is the value of the y-intercept. To isolate $y$, we divide both sides of the equation by $2$: $$y = \frac{3}{2}x + \frac{7}{2}$$ The y-intercept is $\frac{7}{2}$. The statement is false. We make it a true statement by changing it in the following way: The line $2y = 3x + 7$ has a y-intercept of $\frac{7}{2}$.