Question

#19-27, write the slope
19.

m=____, b=____
eq: _______________

Explanation:

Step1: Identify intercept $b$

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

Step2: Calculate slope $m$

Use two points: $(0,1)$ and $(4,-2)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-2-1}{4-0}=\frac{-3}{4}$

Step3: Write line equation

Use slope-intercept form $y=mx+b$.
Substitute $m=-\frac{3}{4}$ and $b=1$: $y=-\frac{3}{4}x+1$

Answer:

$m=-\frac{3}{4}$, $b=1$
Eq: $y=-\frac{3}{4}x+1$