Slope & Slope-Intercept

Front

What is the formula for calculating the slope of a line between two points?

Back

The formula for slope (m) is given by: m = \frac{(y_2 - y_1)}{(x_2 - x_1)}.

Front

What is the slope of a line that passes through the points (-4, 14) and (-16, 8)?

Back

The slope is m = \frac{(8 - 14)}{(-16 + 4)} = \frac{-6}{-12} = \frac{1}{2}.

Front

How do you find the y-intercept of a line given a point and the slope?

Back

Use the formula b = y - mx, where (x, y) is the point and m is the slope.

Front

What is the y-intercept of the line that passes through (-2, -1) with a slope of -3?

Back

The y-intercept is b = -1 - (-3)(-2) = -1 - 6 = -7.

Front

What is the slope of a line that has a rise of -5 and a run of 3?

Back

The slope is m = \frac{rise}{run} = \frac{-5}{3}.

Front

Write the equation in slope-intercept form for a line that passes through (0, -1) and (2, 1).

Back

The equation is y = x - 1.

Front

What is the y-intercept of the equation y = 8x - 7?

Back

The y-intercept is -7.

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

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

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

An undefined slope indicates that the line is vertical.