Question

line g is a straight line that passes through the origin. select any two points shown on line g to draw a slope triangle. the line decreases from left to right. therefore, the slope is negative. enter the slope of line g: -1/3 enter a number to complete the equation for line g: y = x

Explanation:

Step1: Recall slope - intercept form

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

Step2: Identify given values

We are given that the line passes through the origin $(0,0)$, so $b = 0$, and the slope $m=-\frac{1}{3}$.

Step3: Write the equation

Substitute $m = -\frac{1}{3}$ and $b = 0$ into $y=mx + b$. We get $y=-\frac{1}{3}x+0$, which simplifies to $y =-\frac{1}{3}x$.

Answer:

$y =-\frac{1}{3}x$