Review Chapter 4

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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.

Front

Write the equation of a line with a slope of 3 that passes through the point (1, 2).

Back

y = 3x - 1.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of -2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be 1/2, as perpendicular slopes are opposite reciprocals.

Front

How do you convert the equation y = 2x + 3 to standard form?

Back

To convert to standard form, rearrange to get -2x + y = 3 or 2x - y = -3.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points.