Construct Linear Functions 5.3

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. It indicates how much y increases or decreases as x increases by one unit.

Front

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

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

Write an equation for a line with a slope of -110 and a y-intercept of 2480.

Back

y = -110x + 2480

Front

If the slope of a line is 8, what does this mean in a real-world context?

Back

It means that for every hour (x) of service, the cost (y) increases by $8.

Front

What is the initial fee in the equation y = 35x + 40?

Back

The initial fee is $40, which is the y-intercept of the equation.

Front

How do you determine the slope from a linear equation?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the equation for the cost to belong to a gym for x months if the monthly fee is $35 and there is an initial fee of $40?

Back

y = 35x + 40

Front

If a line has a slope of 12, what is the change in y when x increases by 3?

Back

The change in y would be 12 * 3 = 36.

Front

What does it mean if a slope is negative?

Back

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

Front

Write an equation for a line with a slope of 20 and a y-intercept of 0.

Back

y = 20x