a table of values of a linear function is shown below.\nfind the y - intercept and slope of the functions…
a table of values of a linear function is shown below.\nfind the y - intercept and slope of the functions graph.\ny - intercept:\nslope:
Answer
Explanation:
Step1: Recall slope - formula
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points $(x_1,y_1)=( - 3,-7)$ and $(x_2,y_2)=(0,-5)$.
Step2: Calculate the slope
$m=\frac{-5-(-7)}{0 - (-3)}=\frac{-5 + 7}{0+3}=\frac{2}{3}$.
Step3: Recall y - intercept definition
The y - intercept is the value of y when x = 0. From the table, when x = 0, y=-5.
Answer:
y - intercept: -5 slope: $\frac{2}{3}$