5-3 and 5-4 KC

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = 3x + 9?

Back

The slope is 3, which indicates that for every unit increase in x, y increases by 3 units.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Write the equation of a line with a slope of 2 and a y-intercept of (0, -1).

Back

y = 2x - 1

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 6?

Back

The y-intercept is (0, 6).

Front

How do you convert the equation y = 3x + 9 into standard form?

Back

To convert to standard form, rearrange to get -3x + y = 9 or 3x - y = -9.

Front

What is the slope of the line represented by the equation y = -1/2x - 8?

Back

The slope is -1/2.

Front

If a line has a slope of 3, what does this indicate about its steepness?

Back

A slope of 3 indicates a steep line that rises 3 units for every 1 unit it moves to the right.

Front

Write the equation of a line with a slope of -3 and passing through the point (0, -3).

Back

y = -3x - 3

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.