Question

write the equation of this line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify intercept and point

The line crosses y-axis at $(0, -2)$ (y-intercept $b=-2$) and passes through $(2,0)$.

Step2: Calculate slope

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

Step3: Write slope-intercept form

$y = mx + b = 1 \cdot x + (-2) = x - 2$

Answer:

$y = x - 2$