Solving for "y"

Front

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

Back

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

Front

How do you isolate 'y' in the equation 3x + y = 12?

Back

To isolate 'y', subtract 3x from both sides: y = -3x + 12.

Front

What does the slope of a line represent in a linear equation?

Back

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

Front

How can you convert the equation 10x - 2y = 6 into slope-intercept form?

Back

To convert, isolate 'y': 2y = 10x - 6, then y = 5x - 3.

Front

What is the y-intercept in the equation y = 1/2x - 9?

Back

The y-intercept is -9, which is the value of 'y' when 'x' is 0.

Front

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

Back

To find the x-intercept, set 'y' to 0 and solve for 'x'.

Front

What is the significance of the equation 2x + y = 41 in terms of graphing?

Back

This equation represents a straight line on a graph, where 'y' can be expressed in terms of 'x'.

Front

How do you solve for 'x' in the equation (5/8)x + 2 = 17?

Back

Subtract 2 from both sides to get (5/8)x = 15, then multiply both sides by (8/5) to find x = 24.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts.