Slope-Intercept Form

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the variable 'b' represent in the slope-intercept form y = mx + b?

Back

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

Front

How do you identify the slope from the equation y = 4x + 3?

Back

The slope is 4, which indicates that for every 1 unit increase in x, y increases by 4 units.

Front

What is the y-intercept of the equation y = -1/3x - 2?

Back

The y-intercept is -2, meaning the line crosses the y-axis at (0, -2).

Front

If the slope of a line is 2, what does this mean in terms of the graph?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

Write the slope-intercept form of a line with a slope of 3 and a y-intercept of 1.

Back

The equation is y = 3x + 1.

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope is -4.

Front

In the equation y = mx + b, what does 'm' stand for?

Back

The letter 'm' represents the slope of the line.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

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 negative, the line is decreasing.