Question

1. m = 2/9, b = 3
2. m = 3, b = 2/9

write the slope – inte
7)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept formula is $y = mx + b$, where $m$ is slope, $b$ is y-intercept.

Step2: Solve question 4

Substitute $m=\frac{2}{9}$, $b=3$ into the formula:
$y = \frac{2}{9}x + 3$

Step3: Solve question 6

Substitute $m=3$, $b=\frac{2}{9}$ into the formula:
$y = 3x + \frac{2}{9}$

Step4: Find $m$ and $b$ for question7

From the graph, $b=1$ (y-intercept at $(0,1)$). Calculate slope using points $(0,1)$ and $(3,-1)$:
$m=\frac{-1-1}{3-0}=-\frac{2}{3}$
Substitute into the formula:
$y = -\frac{2}{3}x + 1$

Answer:

1. $y = \frac{2}{9}x + 3$
2. $y = 3x + \frac{2}{9}$
3. $y = -\frac{2}{3}x + 1$