Question

line g is a straight line that passes through the origin. select any two points shown on line g. the line neither increases nor decreases from left to right. therefore, the slope is enter the slope of line g. 0 enter a number to complete the equation for line g. y = 0 x

Explanation:

Step1: Recall slope - formula and line - property

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. A line that neither increases nor decreases from left - to - right is a horizontal line. For a horizontal line, all $y$ - values are the same for different $x$ - values.

Step2: Determine the slope value

Since the line $g$ is horizontal, if we take two points $(x_1,y)$ and $(x_2,y)$ on the line, then $m=\frac{y - y}{x_2 - x_1}=0$. The equation of a line in slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the $y$ - intercept. Since the line passes through the origin $(0,0)$ and $m = 0$, substituting into $y=mx + b$ gives $y=0x+0$, or simply $y = 0$.

Answer:

$y = 0$