Question

question
what is an equation of the line that passes through the points $(-3, -5)$ and $(-2, -4)$?

Explanation:

Step1: Calculate slope $m$

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ with $(x_1,y_1)=(-3,-5)$ and $(x_2,y_2)=(-2,-4)$
$m=\frac{-4-(-5)}{-2-(-3)}=\frac{1}{1}=1$

Step2: Find y-intercept $b$

Substitute $m=1$, $x=-3$, $y=-5$ into $y=mx+b$
$-5 = 1\times(-3) + b$
Solve for $b$: $b=-5+3=-2$

Step3: Write line equation

Substitute $m=1$, $b=-2$ into $y=mx+b$
$y = 1x - 2$

Answer:

$y = x - 2$