Finding the Connections CC3 Ch 4

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change or growth of the line.

Front

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

Back

The y-intercept (b) is the value of y when x is 0.

Front

How do you find the y-intercept from the equation y = 3x + 2?

Back

Set x = 0. The y-intercept is 2.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

If the equation of a line is y = 4x + 1, what is the growth rate?

Back

The growth rate is 4.

Front

What is the equation of a line that has a slope of 1 and a y-intercept of 3?

Back

y = 1x + 3 or y = x + 3.

Front

How many tiles does figure 0 have in the equation y = 2x + 3?

Back

Figure 0 has 3 tiles.

Front

What is the equation for a line that decreases by 2 for every increase of 1 in x?

Back

y = -2x + b, where b is the y-intercept.

Front

If a line has a slope of 0, what does that mean?

Back

The line is horizontal and does not change in y as x changes.