Linear Equations Review

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the slope of the line represented by the equation y = 4?

Back

The slope is 0, indicating a horizontal line.

Front

How do you find the slope from two points, (-4, 3) and (-4, -7)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

What is the y-intercept in the equation 2x - 3y = -12?

Back

The y-intercept is 4.

Front

What does a slope of 10 degrees per hour indicate in a temperature graph?

Back

It indicates that the temperature increases by 10 degrees for every hour.

Front

What is the equation of a vertical line that passes through x = 2?

Back

The equation is x = 2.

Front

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

Back

The slope is 2.

Front

How do you convert the equation 2x - 3y = -12 into slope-intercept form?

Back

Rearranging gives y = (2/3)x + 4.

Front

What does a slope of 2/3 indicate about the relationship between x and y?

Back

For every 3 units increase in x, y increases by 2 units.

Front

What is the definition of a linear equation?

Back

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