Chapter 9, Problem 1VR

Complete each statement with the correct term from the column on the right. Some of the choices may not be used.

x-intercept

y-intercept

parallel

perpendicular

vertical

horizontal

slope–intercept

first

second

slope

The equation $y=mx+b$ is called the ______ equation. [9.4a]

To determine

To fill: The blank provided in the statement from given options, “The equation $y=mx+b$ is called the_______ equation.”

Answer to Problem 1VR

Solution:

The correct statement is, the equation $y=mx+b$ is called the slope-intercept equation.

Explanation of Solution

Given information:

The provided options are $x$-intercept, $y$-intercept, parallel, perpendicular, vertical, horizontal, slope-intercept, first, second, and slope.

Explanation:

The slope intercept form of a line is given by,

$y=mx+b$

Where $m$ is the slope and $b$ is the $y$ intercept.

For example,

The line $y=2x+3$ is in slope intercept form with slope $2$ and $y$ intercept $\left(0,3\right)$.

Therefore, the equation $y=mx+b$ is called the slope intercept equation.