Slope-intercept

Front

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

Back

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

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

How can you find the y-intercept of a line given two points?

Back

To find the y-intercept, first calculate the slope using the two points, then use one of the points and the slope to solve for b in the equation y = mx + b.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope of the line is 3.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the line represented by the equation y = -5x + 2?

Back

The y-intercept is 2.

Front

How do you convert the equation 2x - 3y = 6 into slope-intercept form?

Back

To convert, solve for y: y = (2/3)x - 2.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables, indicating how one variable changes in relation to another.