Equations and Linear Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

What is the slope of the line passing through the points (-1, 3) and (5, -1)?

Back

-2/3

Front

What is the slope of the line passing through the points (2, 5) and (4, 9)?

Back

2

Front

What is the general form of a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

What is the graph of the equation y = 2x + 3?

Back

The graph of the equation y = 2x + 3 is a straight line.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you solve the equation 4(3x + 2) = 28?

Back

x = 5.