Slope Intercept Form and Intercepts

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

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

Front

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

Back

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

Front

How do you find the y-intercept from the equation y = 3x + 5?

Back

Set x = 0. The y-intercept is (0, 5).

Front

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

Back

The slope is -2.

Front

If a line has a positive slope, what does that indicate about its direction?

Back

It indicates that the line rises from left to right.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

It indicates that the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearranging gives y = -2/3x + 2.