Question

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

Explanation:

Step1: Identify slope-intercept form

Slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Find the y - intercept ($b$)

The line crosses the y - axis at $(0,-2)$, so $b=-2$.

Step3: Calculate the slope ($m$)

We can use two points on the line. Let's take $(0, - 2)$ and $(1,0)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Substituting the values: $m=\frac{0 - (-2)}{1 - 0}=\frac{0 + 2}{1}=2$.

Step4: Write the equation

Substitute $m = 2$ and $b=-2$ into $y=mx + b$. We get $y = 2x-2$.

Answer:

$y = 2x - 2$