slope intercept form flashcard review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

Given the equation y = 3/2x + 3, what is the slope?

Back

The slope is 3/2.

Front

Given the equation y = 3/2x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).

Front

If Luke has $50 and spends $2 per ride, how can you express his remaining money as a linear equation?

Back

The equation is y = -2x + 50, where y is the remaining money and x is the number of rides.

Front

How do you calculate the number of rides Luke can take if he has $30 left?

Back

Set the equation -2x + 50 = 30 and solve for x, which gives x = 10 rides.

Front

What is the significance of the slope in a real-world context, such as in the equation y = -2x + 50?

Back

The slope indicates the rate of change; in this case, it shows how much money Luke spends per ride.

Front

In the equation y = 4x + 3, what does the slope of 4 indicate?

Back

It indicates that for every unit increase in x, y increases by 4 units.

Front

What does the variable y typically represent in a slope-intercept equation?

Back

The variable y typically represents the dependent variable or the output of the equation.