Writing y = mx + b

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 means the line rises, while a negative slope means it falls.

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.

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

If a line has a slope of 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the points (4, -5) and (-1, 8), what is the slope?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (8 - (-5)) / (-1 - 4) = 13 / -5 = -2.6.

Front

What is the slope-intercept form of the line that passes through the points (-4, -1) and (-6, 3)?

Back

The slope-intercept form is y = -2x - 9.

Front

True or False: The equation y = 3x + 4 has a slope of 3.

Back

True.