Point-Slope and Standard Form Flashcard Review

Front

What is the slope of a line?

Back

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

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

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 the y-intercept represent in a linear equation?

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

Convert the equation -2x + 6y = 12 to slope-intercept form.

Back

The slope-intercept form is y = (1/3)x + 2.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = -3x + 2?

Back

The y-intercept is 2.

Front

Write an equation to represent the total cost of T-shirts and hoodies if T-shirts cost $15 each and hoodies cost $20 each, and the total spent is $150.

Back

The equation is 15x + 20y = 150, where x is the number of T-shirts and y is the number of hoodies.

Front

If a line has a slope of 2/3, what does this indicate about the line's steepness?

Back

A slope of 2/3 indicates that for every 3 units moved horizontally to the right, the line rises 2 units vertically.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.