Question

line r is a straight - line that passes through the origin. select any two points shown on line r to draw a slope triangle. the line decreases from left to right. therefore, the slope is negative. enter the slope of line r: - 2/3 enter a number to complete the equation for line r. y = x

Explanation:

Step1: Recall line - equation form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given that the line passes through the origin $(0,0)$, the y - intercept $b = 0$.

Step2: Identify the slope

The slope $m$ of the line $r$ is given as $-\frac{2}{3}$.

Step3: Write the equation

Substitute $m=-\frac{2}{3}$ and $b = 0$ into the slope - intercept form. We get $y=-\frac{2}{3}x+0$, which simplifies to $y =-\frac{2}{3}x$.

Answer:

$y =-\frac{2}{3}x$