CW: Systems by Graphing

Front

What are the steps for graphing a line?

Back

1. Plot y-intercept 2. Count slope ratio to plot second point 3. Draw the line.

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 convert the standard form equation 4x - 3y = 15 into slope-intercept form?

Back

y = (4/3)x - 5

Front

How do you convert the standard form equation x - 5y = 10 into slope-intercept form?

Back

y = (1/5)x - 2

Front

What does it mean for two lines to be parallel?

Back

Parallel lines never intersect because they have the same slopes.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

What is the slope of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The slope is -1/2.

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.