Question

1. what is the y - value when x = 12? type a response

Explanation:

Step1: Find two points on the line

Let's take two visible points, say $(0, - 3)$ and $(5,0)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using $(x_1,y_1)=(0,-3)$ and $(x_2,y_2)=(5,0)$, we have $m=\frac{0-(-3)}{5 - 0}=\frac{3}{5}$.

Step3: Find the equation of the line

The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. Since the line passes through $(0,-3)$, $b=-3$. So the equation of the line is $y=\frac{3}{5}x-3$.

Step4: Substitute $x = 12$

Substitute $x = 12$ into $y=\frac{3}{5}x-3$. Then $y=\frac{3}{5}\times12-3=\frac{36}{5}-3=\frac{36 - 15}{5}=\frac{21}{5}=4.2$.

Answer:

$4.2$