Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope (m) in the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope rises from left to right, while a negative slope falls.

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 y-intercept (b) in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

What is the slope of the line that passes through the points (1, 2) and (3, 4)?

Back

The slope is 1, calculated as (4 - 2) / (3 - 1).

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same for two points.

Front

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

Back

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

Front

How can you find the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

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 - 3 = 2(x - 1), which simplifies to y = 2x + 1.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.