Question

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

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points on line

Use $(0, -1)$ and $(2, -2)$

Step3: Calculate the slope

$m = \frac{-2 - (-1)}{2 - 0} = \frac{-1}{2} = -\frac{1}{2}$

Step4: Identify y-intercept

The line crosses y-axis at $(0, -1)$, so $b = -1$

Step5: Write slope-intercept form

Slope-intercept form is $y = mx + b$
Substitute $m = -\frac{1}{2}$ and $b = -1$

Answer:

$y = -\frac{1}{2}x - 1$