Slope Intercept Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is 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

The 'm' represents the slope of the line.

Front

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

Back

The 'b' represents the y-intercept, 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 as m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 3, what does this indicate about the line?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope of the line is -2.

Front

How can you determine if a line is increasing or decreasing from 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 slope of the line represented by the equation y = 5?

Back

The slope is 0, indicating a horizontal line.

Front

What is the y-intercept of the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

How do you graph a line using the slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.