Answer
Therefore, the slope of this line is $\frac{5}{2}$ and the y-intercept is $-5$.
Work Step by Step
To find the slope and y-intercept of this equation, we want to rewrite it in the slope-intercept form.
First, we subtract $5x$ from each side to isolate $y$ to one side of the equation:
$$-2y = -5x + 10$$
Divide by $-2$ to solve for $y$:
$$y = \frac{-5}{-2}x -5$$
Simplify:
$$y = \frac{5}{2}x -5$$
The equation has been rewritten in slope-intercept form, which is given as:
$$y = mx + b$$
where $m$ is the slope and $b$ is the y-intercept.
Therefore, the slope of this line is $\frac{5}{2}$ and the y-intercept is $-5$.
