Unit 4 Flashcard 1 Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: m = (y2 - y1) / (x2 - x1).

Front

What are x and y intercepts?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where the line crosses the y-axis (x=0).

Front

How do you find the x-intercept of the equation 5x - 3y = 15?

Back

To find the x-intercept, set y = 0 and solve for x: 5x = 15, so x = 3.

Front

How do you find the y-intercept of the equation 5x - 3y = 15?

Back

To find the y-intercept, set x = 0 and solve for y: -3y = 15, so y = -5.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is expressed as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Convert the points (3, -5) and (5, -1) to point-slope form.

Back

The point-slope form is y + 5 = 2(x - 3), where the slope m = 2.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

Convert the equation y = -2x + 5 to slope-intercept form.

Back

The equation is already in slope-intercept form with a slope of -2 and a y-intercept of 5.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and does not rise or fall.