Slope-Intercept Form 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 the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

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

Back

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

Front

How do you find the slope from 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 slope of the line represented by the equation y = 4x + 12?

Back

The slope is 4.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

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

Back

If the slope is positive, the line is increasing. If the slope is negative, the line is decreasing.

Front

What is the y-intercept of the equation y = 5x - 7?

Back

The y-intercept is -7.

Front

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

Back

Start at the y-intercept (0, 1) and use the slope (-2) to find another point by going down 2 units and right 1 unit.