Slope-Intercept Form Review

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

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 (y = mx + b), solve for y.

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 calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

Front

What is the slope of the line represented by the equation y = -3x - 3?

Back

The slope of the line is -3.

Front

How do you find the y-intercept from the equation y = 1/3x - 2?

Back

The y-intercept is -2, which is the constant term in the equation.