Slope and Slope Intercept Review

Front

What is the formula to calculate the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the y-intercept from the slope-intercept form of a linear equation?

Back

The y-intercept (b) is the value of y when x = 0.

Front

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

Back

The line is horizontal and does not rise or fall as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical and does not change in x as y changes.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

m = (7 - 3) / (4 - 2) = 2.

Front

How do you convert the equation y = 2x + 5 into slope-intercept form?

Back

It is already in slope-intercept form with m = 2 and b = 5.

Front

What is the y-intercept of the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

How would you write the equation of a line with a slope of -1 and a y-intercept of 2?

Back

y = -1x + 2.