Write the equation of a line (5.5-5.7 Review )

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) of a line through two points is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you write the equation of a line given a point and a slope?

Back

To write the equation of a line given a point (x1, y1) and a slope m, use the point-slope form: y - y1 = m(x - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form y = mx + b.

Front

How can you determine if a line is horizontal?

Back

A line is horizontal if its slope is 0, which means it has the same y-value for all x-values.

Front

What is the equation of a horizontal line that passes through the point (a, b)?

Back

The equation of a horizontal line that passes through the point (a, b) is y = b.

Front

What is the equation of a vertical line that passes through the point (a, b)?

Back

The equation of a vertical line that passes through the point (a, b) is x = a.

Front

How do you convert the point-slope form of a line to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

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.