Question

quiz slope intercept form and grap... what is the equation of this line? a) $y = 4$ b) $x = 4$ c) $y=\frac{4}{5}$ d) $y = 4x$

Explanation:

Step1: Identify line characteristics

The line is horizontal and passes through $y = 4$ on the y - axis. For a horizontal line, the y - value is constant for all x - values. The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. For a horizontal line, $m = 0$.

Step2: Write the equation

The equation of a horizontal line passing through the point $(0,4)$ is $y=0x + 4$, which simplifies to $y = 4$.

Answer:

A. $y = 4$