Question

the equation of a line is given below.
-2x - 5y = 10
find the slope and the y-intercept.
then use them to graph the line.

Explanation:

Step1: Isolate the $y$-term

$-5y = 2x + 10$

Step2: Solve for $y$ (slope-intercept form)

$y = -\frac{2}{5}x - 2$

Step3: Identify slope and intercept

Slope is the coefficient of $x$; $y$-intercept is the constant term.

Answer:

Slope: $\boldsymbol{-\frac{2}{5}}$
$y$-intercept: $\boldsymbol{-2}$ (the point $(0, -2)$ on the graph)