Geometry CP - Chapter 3 Review

Front

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

Back

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

Front

Calculate the slope (m) of the line containing the points (5, -6) and (8, -3).

Back

m = (y2 - y1) / (x2 - x1) = (-3 - (-6)) / (8 - 5) = 3 / 3 = 1

Front

What is the y-intercept (b) of a line with slope m that passes through a point (x, y)?

Back

b = y - mx

Front

Find the y-intercept (b) of the line with a slope of -2 and containing the point (10, -1).

Back

b = -1 - (-2)(10) = -1 + 20 = 19

Front

What is the formula for the equation of a line in slope-intercept form?

Back

y = mx + b

Front

Calculate the slope (m) of the line that contains the points (0, 6) and (5, 2).

Back

m = (2 - 6) / (5 - 0) = -4 / 5

Front

What does it mean if the slope of a line is undefined?

Back

The line is vertical, meaning it goes straight up and down.

Front

What is the solution to the equation 3x + 9 = 45?

Back

x = 12

Front

What is the solution to the equation 2x + 5 = 19?

Back

x = 7

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.