Linear Review

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the line represented by the equation y = -rac{2}{3}x + 4?

Back

The y-intercept is 4.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope (m) is positive, the line is increasing. If the slope is negative, the line is decreasing.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and can be represented by the equation y = b, where b is a constant.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and can be represented by the equation x = a, where a is a constant.

Front

How do you graph the line y = 2x + 1?

Back

Start at the y-intercept (0, 1) and use the slope (2) to find another point: rise 2 units and run 1 unit to the right.