Question

find the slope and the y - intercept of the graph of the linear equation. then write the equation of the line in slope - intercept form.
the slope is \boxed{}. (simplify your answer.)

Explanation:

Step1: Identify two points on line

From the graph, we can pick two clear points: $(0, -10)$ (the y-intercept) and $(2, 0)$.

Step2: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0 - (-10)}{2 - 0}=\frac{10}{2}=5$

Step3: Identify y-intercept

The line crosses the y-axis at $(0, -10)$, so $b=-10$.

Step4: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=5$ and $b=-10$.
$y=5x-10$

Answer:

The slope is $5$
The y-intercept is $(0, -10)$
The slope-intercept equation is $y=5x-10$