Writing Linear Equations Test

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) to the run (change in x).

Front

Identify the slope of the line represented by the equation y = 2x + 3.

Back

The slope is 2.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you write the equation of a line in slope-intercept form?

Back

The slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line passing through these points?

Back

The slope is 2.

Front

What is the equation of a line with a slope of 3 that passes through the point (0, -1)?

Back

The equation is y = 3x - 1.