slope intercept form

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line is increasing from left to right.

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 the line represented by the equation y = 4x + 1?

Back

The slope of the line is 4.

Front

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

Back

The y-intercept of the line is 5, represented as the point (0, 5).

Front

Write the slope-intercept equation of a line with a slope of 2 and a y-intercept of -3.

Back

The equation is y = 2x - 3.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope of the line is -1/2.