Unit 4 Flashcard Review Graphing linear equations

Front

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

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is (0, 5).

Front

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept, where the line crosses the y-axis.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the equation of a line with a slope of -1 that passes through the point (2, 3)?

Back

The equation is y = -1(x - 2) + 3 or y = -x + 5.