Question

3)(-3, 3) (0, 3)| x | y || -3 | 3 || 0 | 3 |m: ____b: __equation: __4)(0,1) (2,-2)| x | y || 0 | 1 || 2 | -2 |m: __b: __equation: ____

Explanation:

Step1: Solve problem 3: Find slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Use points $(-3,3)$ and $(0,3)$.
$m=\frac{3-3}{0-(-3)}=\frac{0}{3}=0$

Step2: Solve problem 3: Find y-intercept

The y-intercept $b$ is the $y$-value when $x=0$, which is 3.

Step3: Solve problem 3: Write equation

Use slope-intercept form $y=mx+b$.
$y=0x+3 \implies y=3$

Step4: Solve problem 4: Find slope

Use points $(0,1)$ and $(2,-2)$ in slope formula.
$m=\frac{-2-1}{2-0}=\frac{-3}{2}=-\frac{3}{2}$

Step5: Solve problem 4: Find y-intercept

The y-intercept $b$ is the $y$-value when $x=0$, which is 1.

Step6: Solve problem 4: Write equation

Use slope-intercept form $y=mx+b$.
$y=-\frac{3}{2}x+1$

Answer:

Problem 3:

$m: 0$
$b: 3$
Equation: $y=3$

Problem 4:

$m: -\frac{3}{2}$
$b: 1$
Equation: $y=-\frac{3}{2}x+1$