Question

select the correct answer from each drop - down menu. the slope of the line in the graph is. the y - intercept is. the equation of the line is y = x

Explanation:

Step1: Find two points on the line

We can see the line passes through (0, - 3) and (1,0).

Step2: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using points (0, - 3) and (1,0), we have $m=\frac{0-(-3)}{1 - 0}=\frac{3}{1}=3$.

Step3: Identify the y - intercept

The y - intercept is the y - value when $x = 0$. From the point (0, - 3), the y - intercept $b=-3$.

Step4: Write the equation of the line

The slope - intercept form of a line is $y=mx + b$. Substituting $m = 3$ and $b=-3$, we get $y = 3x-3$.

Answer:

The slope of the line in the graph is 3. The y - intercept is - 3. The equation of the line is $y = 3x-3$.