Slope-Intercept Form

Front

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

Back

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

Front

What does the 'm' represent in the slope-intercept form?

Back

In the slope-intercept form, 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If a line has a positive slope, what does that indicate about its direction?

Back

A line with a positive slope rises from left to right.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

A line with a negative slope falls from left to right.

Front

Write the slope-intercept equation for a line with a slope of 2 and a y-intercept of 4.

Back

The equation is y = 2x + 4.

Front

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

Back

The slope of the line is -3.