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, indicating the value of y when x = 0.

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

If a line has a slope of 2/3, what does this indicate about its direction?

Back

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

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4.

Front

How would you write the equation 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 = -3x + 1?

Back

The slope is -3.

Front

If a line is descending from left to right, what can you say about its slope?

Back

The slope is negative.

Front

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

Back

The y-intercept is 2.