Question

write an equation in slope - intercept form for the line with slope $-\frac{2}{3}$ and y - intercept 1. then graph the line.
equation:

Explanation:

Step1: Recall slope-intercept formula

Slope-intercept form is $y = mx + b$, where $m$ is slope, $b$ is y-intercept.

Step2: Substitute given values

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

Step3: Identify graph points

1. Plot y-intercept: $(0, 1)$
2. Use slope $\frac{\Delta y}{\Delta x}=-\frac{2}{3}$: from $(0,1)$, move 3 right, 2 down to $(3, -1)$; or 3 left, 2 up to $(-3, 3)$.

Answer:

Equation: $\boldsymbol{y = -\frac{2}{3}x + 1}$
To graph:

1. Mark the point $(0, 1)$ on the y-axis.
2. Mark the point $(3, -1)$ and $(-3, 3)$ using the slope.
3. Draw a straight line connecting these points.