writing equations in 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 convert the equation x - y + 4 = 0 to slope-intercept form?

Back

Rearranging gives y = x + 4.

Front

What is the slope of the line represented by the equation y = -5x - 10?

Back

The slope is -5.

Front

What type of slope does a line with a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What type of slope does a line with a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 4, what does this mean?

Back

For every 1 unit increase in x, y increases by 4 units.