Linear relationships

Front

What type of relationship has a CONSTANT RATE of CHANGE between two variables?

Back

Linear relationship

Front

If a line has a slope of 7 and passes through the point (4,40), what is the equation?

Back

y = 7x + 12

Front

Given the following table, what is the equation? (Assuming the table shows a linear relationship)

Back

y = 2x + 0

Front

Write an equation of a line with a slope of 5 and a y-intercept of -3.

Back

y = 5x - 3

Front

Is this graph proportional? (Assuming the graph does not pass through the origin)

Back

No

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

3/4

Front

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

Back

The value of y when x = 0.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two variables to be directly proportional?

Back

As one variable increases, the other variable increases at a constant rate.