Slope-Intercept Study Guide

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (vertical change) to the run (horizontal change).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, which is represented by the constant b in the equation.

Front

What is the y-intercept of the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line, where the x-value does not change, resulting in a division by zero in the slope formula.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line represented by the equation y = 2/3x - 3?

Back

The slope is 2/3.

Front

What is the rise/run formula for calculating slope?

Back

Slope = rise/run, where 'rise' is the change in y and 'run' is the change in x.