Question

hank draws a line with a zero slope through the point (-2, 4). graph hanks line on the coordinate plane

Explanation:

Step1: Recall line - slope concept

A line with zero slope is a horizontal line. The equation of a horizontal line passing through the point $(x_0,y_0)$ is $y = y_0$.

Step2: Identify the y - coordinate

The given point is $(-2,4)$. Here $x_0=-2$ and $y_0 = 4$. So the equation of the line is $y = 4$.

Step3: Graph the line

On the coordinate - plane, draw a horizontal line passing through the point where $y = 4$ for all values of $x$.

Answer:

Draw a horizontal line passing through the point $(-2,4)$ (i.e., a line where $y = 4$ for all $x$ - values on the coordinate plane).