Question

psat math midterm assessment
possible points: 6
what is y=mx + b, and what do m and b represent?
drag the words into the boxes to correctly complete the sentences
the equation represents the of a equation.
m is the of the line.
b is the of the line.
options: slope, x - intercept, point - slope form, linear, slope - intercept form, y - intercept, nonlinear

Explanation:

The equation \( y = mx + b \) is the slope - intercept form of a linear equation. In this equation, \( m \) represents the slope of the line, which describes the steepness and direction of the line. \( b \) represents the y - intercept, which is the point where the line intersects the y - axis (when \( x = 0 \)).
For the first blank (the form of the equation), we use "slope - intercept form". For the second blank (type of equation), we use "linear" because \( y=mx + b \) represents a straight - line (linear) relationship. For the third blank (what \( m \) represents), we use "slope". For the fourth blank (what \( b \) represents), we use "y - intercept".

Answer:

The equation represents the \(\boldsymbol{\text{slope - intercept form}}\) of a \(\boldsymbol{\text{linear}}\) equation.

\( m \) is the \(\boldsymbol{\text{slope}}\) of the line.

\( b \) is the \(\boldsymbol{\text{y - intercept}}\) of the line.