Multiple Representations of 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 slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is -5.

Front

How do you convert a linear equation to slope-intercept form?

Back

To convert to slope-intercept form, solve for y in terms of x, rearranging the equation to the form y = mx + b.

Front

What is the slope of the line represented by the equation y = 2x + 6?

Back

The slope of the line is 2.

Front

Which equation has a negative slope?

Back

y = -2x + 6 has a negative slope.

Front

What is the slope of the line represented by the equation y = 4/3x - 12?

Back

The slope of the line is 4/3.

Front

If a plane rises at a rate of 3,000 ft per minute, what is the slope in the equation H = 3,000x + 20,000?

Back

The slope is 3,000, representing the height increase per minute.