Question

1. m = 3, b = 2/9

write the slope – inte
7)

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Substitute given values (Problem 6)

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

Step3: Identify b from graph (Problem7)

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

Step4: Calculate slope m (Problem7)

Use points $(0,1)$ and $(3,-1)$: $m=\frac{-1-1}{3-0}=\frac{-2}{3}$

Step5: Write equation (Problem7)

Substitute $m=-\frac{2}{3}$ and $b=1$ into $y=mx+b$.
$y = -\frac{2}{3}x + 1$

Answer:

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