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 increases from left to right. therefore, the slope is positive. enter the slope of line g: 2/1 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. Since the line passes through the origin $(0,0)$, the y - intercept $b = 0$.

Step2: Identify the slope

The slope $m$ of the line is given as $\frac{1}{2}$.

Step3: Write the equation

Substitute $m=\frac{1}{2}$ and $b = 0$ into $y=mx + b$. We get $y=\frac{1}{2}x$.

Answer:

$y=\frac{1}{2}x$