Slope and Slope Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by 'm' in the equation y = mx + b.

Front

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

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

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

Back

The slope is 3.

Front

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

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

The equation is y = 2x + 1.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Rearrange the equation to solve for y: y = (-A/B)x + (C/B).

Front

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

Back

The slope is -1.