Slope-Intercept Form

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 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

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 y-intercept (b) 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

If a line has a slope of 4, what does this indicate about the line's steepness?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units, making the line steep.

Front

Write the equation of a line with slope 4 that passes through the point (-2, 5).

Back

The equation is y = 4x + 13.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

How do you determine the y-intercept from the equation y = 2x + 3?

Back

The y-intercept is 3, which means the line crosses the y-axis at (0, 3).

Front

If the slope of a line is -1/2, what does this indicate about the direction of the line?

Back

A slope of -1/2 indicates that the line descends from left to right.