the fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in…

the fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. the equation for the line of best fit for the data is y = 28x. how can the y - intercept and slope of this line be interpreted? the y - intercept is 28, which represents the miles that can be traveled with 1 gallon of gas. the slope is 0, which represents the amount of gas used when 0 miles are traveled. the y - intercept is 28, which represents the amount of gas used when 0 miles are traveled. the slope is 0, which represents the miles that can be traveled with 1 gallon of gas. the y - intercept is 0, which represents the number of miles that can be traveled with 1 gallon of gas. the slope is 28, which represents the amount of gas used when 0 miles are traveled. the y - intercept is 0, which represents the amount of gas used when 0 miles are traveled. the slope is 28, which represents the miles that can be traveled with 1 gallon of gas. done

the fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. the equation for the line of best fit for the data is y = 28x. how can the y - intercept and slope of this line be interpreted? the y - intercept is 28, which represents the miles that can be traveled with 1 gallon of gas. the slope is 0, which represents the amount of gas used when 0 miles are traveled. the y - intercept is 28, which represents the amount of gas used when 0 miles are traveled. the slope is 0, which represents the miles that can be traveled with 1 gallon of gas. the y - intercept is 0, which represents the number of miles that can be traveled with 1 gallon of gas. the slope is 28, which represents the amount of gas used when 0 miles are traveled. the y - intercept is 0, which represents the amount of gas used when 0 miles are traveled. the slope is 28, which represents the miles that can be traveled with 1 gallon of gas. done

Answer

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. Given $y = 28x$, we can rewrite it as $y=28x + 0$, so $m = 28$ and $b = 0$.

Step2: Interpret $y$-intercept

The $y$-intercept ($b$) is the value of $y$ when $x = 0$. Here, $x$ is the amount of gas used and $y$ is the distance traveled. When $x = 0$ (0 gallons of gas used), $y=0$, so the $y$-intercept of 0 represents the amount of gas used when 0 miles are traveled.

Step3: Interpret slope

The slope ($m$) represents the change in $y$ for a unit - change in $x$. Here, for every 1 - unit increase in $x$ (1 gallon of gas), $y$ (distance traveled) increases by 28 units (28 miles). So the slope of 28 represents the miles that can be traveled with 1 gallon of gas.

Answer:

The $y$-intercept is 0, which represents the amount of gas used when 0 miles are traveled. The slope is 28, which represents the miles that can be traveled with 1 gallon of gas.