write the equation of the line in fully simplified slope - intercept form. answer attempt 1 out of 2

Explanation:

Step1: Find two points on the line

Let's take the points $(0, - 4)$ and $(2,0)$.

Step2: Calculate the slope $m$

The slope - formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $(x_1,y_1)=(0,-4)$ and $(x_2,y_2)=(2,0)$ gives $m=\frac{0-( - 4)}{2 - 0}=\frac{4}{2}=2$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - coordinate of the point where the line crosses the y - axis. From the point $(0,-4)$, $b=-4$.

Step4: Write the equation in slope - intercept form

The slope - intercept form of a line is $y = mx + b$. Substituting $m = 2$ and $b=-4$ gives $y=2x - 4$.

Answer:

$y = 2x-4$