Slope and Slope Intercept

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 slope-intercept form of a linear equation, which is given by the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you find 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 does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

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 'b' in the slope-intercept form.

Front

Convert the equation 3x + 2y = 6 to slope-intercept form.

Back

y = -rac{3}{2}x + 3.

Front

What is the slope of the line represented by the equation y = 4x - 2?

Back

The slope is 4.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal.