Graphing lines using Table of Values and Intercepts Practice

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept of a linear equation, set x = 0 and solve for y.

Front

What is the x-intercept of a line?

Back

The x-intercept of a line is the point where the line crosses the x-axis, found by setting y = 0 and solving for x.

Front

Given the equation y = 2x + 1, what is the y-value when x = 4?

Back

When x = 4, y = 2(4) + 1 = 9.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How can you determine if a table of values represents a linear function?

Back

A table of values represents a linear function if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you convert the equation 2x - 5y = 1 to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = (2/5)x - (1/5).

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) represents the y-intercept of the line, where the line crosses the y-axis.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.