Algebra 1 Assignment 2.22

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

How do you identify the slope from the equation y = 1/3x - 2?

Back

The slope is 1/3, which means for every 3 units increase in x, y increases by 1 unit.

Front

What is the graph of the equation y = -3?

Back

The graph of y = -3 is a horizontal line that crosses the y-axis at -3.

Front

How can you determine if a line has a positive or negative slope from its equation?

Back

If the coefficient of x (m) is positive, the slope is positive; if m is negative, the slope is negative.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the starting value of y when x is zero, providing a reference point for the graph.

Front

Which equation represents a line with a slope of 1/4?

Back

The equation y = 1/4x - 20 represents a line with a slope of 1/4.

Front

What does it mean for a line to have a slope of zero?

Back

A slope of zero means the line is horizontal and does not rise or fall as x changes.