Question

complete the following equations. enter an equation for line c: y = x

Explanation:

Step1: Find two points on line c

We can see the line passes through (0,0) and (2, 4).

Step2: Calculate the slope

The slope $m$ of a line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=0,x_2 = 2,y_2 = 4$, so $m=\frac{4 - 0}{2 - 0}=2$.

Step3: Write the equation

The equation of a line in slope - intercept form is $y=mx + b$. Since the line passes through the origin $(0,0)$, the y - intercept $b = 0$. So the equation of line c is $y = 2x$.

Answer:

2