Question

question find the equation of the linear function represented by the table below in slope - intercept form. answer attempt 1 out of 2 submit answer

Explanation:

Step1: Calculate the slope

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take $(x_1,y_1)=(1,7)$ and $(x_2,y_2)=(2,11)$. Then $m=\frac{11 - 7}{2 - 1}=\frac{4}{1}=4$.

Step2: Find the y - intercept

The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know $m = 4$, and we can use the point $(1,7)$. Substitute $x = 1$, $y=7$ and $m = 4$ into $y=mx + b$. So $7=4\times1 + b$. Solving for $b$, we get $b=7 - 4=3$.

Answer:

$y = 4x+3$