Question

1. write two equations for the graph on the right. homework 2.04 pre - algebra ii/geometry

Explanation:

Step1: Find slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Determine slope and y - intercept

From the graph, the line passes through the origin $(0,0)$ and another point, say $(1, 2)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{2 - 0}{1 - 0}=2$, and the y - intercept $b = 0$. So one equation is $y = 2x$.

Step3: Write in standard form

The standard form of a line is $Ax+By = C$. Rearranging $y = 2x$ gives $2x - y=0$.

Answer:

$y = 2x$, $2x - y = 0$