Slope Intercept Form Flashcard

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 slope (m) represent in the slope-intercept form?

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 the slope-intercept form?

Back

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

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 vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Convert the equation y = 2x + 5 to slope-intercept form.

Back

The equation is already in slope-intercept form: y = 2x + 5.

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

If the slope of a line is -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

Write the equation of a line with a slope of 1 and a y-intercept of -2.

Back

The equation is y = 1x - 2 or y = x - 2.