Analyze Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the slope-intercept form (y=mx+b)?

Back

In the slope-intercept form, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form (y=mx+b)?

Back

In the slope-intercept form, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 4x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

If the slope of a line is 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How can you convert the equation y = 3x + 4 to standard form?

Back

To convert y = 3x + 4 to standard form, rearrange it to -3x + y = 4 or 3x - y = -4.

Front

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

Back

The slope of the line is -5.

Front

What does it mean if two lines are parallel?

Back

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