Writing Slope Intercept Equations

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 of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

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

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is where the line crosses the y-axis.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where 'a' is the x-coordinate of any point on the line.

Front

How do you convert the equation y = 3x + 2 to slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope (m) is 3 and the y-intercept (b) is 2.

Front

Given the points (1, 2) and (3, 6), what is the slope of the line?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.