Slope & Slope Intercept

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.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

Write the equation for a line with a slope of 3 and a y-intercept of 4.

Back

y = 3x + 4

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

In the equation y = 2x + 1, what is the slope?

Back

The slope is 2.

Front

What is the entrance fee if the total cost at an amusement park is modeled by y = 1.5x + 20?

Back

The entrance fee is $20.

Front

If Jerry has $20 and earns $7 per hour, what is the equation for his total money after x hours?

Back

y = 7x + 20.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that makes a straight line when graphed.