find the equation of the linear function represented by the table below in slope - intercept form.\nanswer…
find the equation of the linear function represented by the table below in slope - intercept form.\nanswer attempt 1 out of 2\nsubmit answer
Answer
Explanation:
Step1: Calculate the slope
The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(1,1)$ and $(x_2,y_2)=(2,4)$. Then $m=\frac{4 - 1}{2 - 1}=\frac{3}{1}=3$.
Step2: Find the y - intercept
The slope - intercept form is $y=mx + b$. Substitute $m = 3$, $x = 1$ and $y = 1$ into the equation: $1=3\times1 + b$. Solve for $b$: $b=1 - 3=-2$.
Answer:
$y = 3x-2$