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

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

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2.

Front

What is the equation of the vertical line that goes through the point (-3,5)?

Back

x = -3.

Front

What is the slope of the line that passes through the points (0, -2) and (3, -4)?

Back

The slope is -2/3.

Front

What type of line has an undefined slope?

Back

A vertical line has an undefined slope.

Front

Which type of line runs parallel to the y-axis?

Back

A vertical line runs parallel to the y-axis.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.