transforming functions\ntype a function that matches the dotted graph ( it does not need to be dotted and…
transforming functions\ntype a function that matches the dotted graph ( it does not need to be dotted and does not need to be red).
Answer
Explanation:
Step1: Identify line type and points
The graph is a linear function. We can pick two clear points: $(5, -3)$ and $(0, -1)$.
Step2: Calculate slope $m$
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ $m=\frac{-1 - (-3)}{0 - 5}=\frac{2}{-5}=-\frac{2}{5}$
Step3: Find y-intercept $b$
The line crosses the y-axis at $(0, -1)$, so $b=-1$.
Step4: Write linear function
Use slope-intercept form $y=mx+b$ $y=-\frac{2}{5}x - 1$
Answer:
$y=-\frac{2}{5}x - 1$