5.1-5.2 Writing Linear Equations Review

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 slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is the equation of a line with a slope of 2 that passes through the point (0, 3)?

Back

The equation is y = 2x + 3.

Front

How can you determine if two lines are parallel?

Back

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

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert the slope-intercept form to standard form?

Back

Rearrange y = mx + b to Ax + By = C by moving mx to the left side.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by 1 unit, resulting in a downward slant.

Front

What is the equation of a line that is vertical?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.