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 represent in a linear equation?

Back

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

Front

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

Back

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

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

The slope is 3/2.

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -2/3x + 4?

Back

The slope is -2/3.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -1?

Back

The equation is y = 2x - 1.

Front

If a line has a slope of 5/7, what does this indicate about the line?

Back

It indicates that for every 7 units moved horizontally, the line moves up 5 units vertically.

Front

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

Back

The slope is -1.