Question

a line is graphed on the coordinate grid below. fill in the blanks using the drop down options below. the slope of the line is and the equation of the line is desmos | graphing calculator | texas version y = 4x y = 4 x = 4

Explanation:

Step1: Identify the type of line

The line is horizontal. For a horizontal line, the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ gives $m = 0$ since the $y -$ values are constant for all $x$ values.

Step2: Determine the equation of the line

A horizontal line has an equation of the form $y = k$, where $k$ is the $y -$ coordinate of any point on the line. The line passes through $y = 4$, so the equation is $y=4$.

Answer:

The slope of the line is $0$ and the equation of the line is $y = 4$