slope intercept form

Front

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

Back

The slope-intercept form of a linear equation is given by 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) represents the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How do you determine 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 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

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

If a line has a slope of 2/3, what does this indicate about the line's steepness?

Back

A slope of 2/3 indicates that for every 3 units moved horizontally to the right, the line rises 2 units vertically.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 5?

Back

The equation of the line is y = -1x + 5 or y = -x + 5.

Front

How do you find the y-intercept from the equation y = 4x - 7?

Back

The y-intercept is the value of y when x = 0. For y = 4x - 7, the y-intercept is -7.