Writing Equations of Lines Review

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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 using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a vertical line look like in equation form?

Back

A vertical line is represented by an equation of the form x = a, where 'a' is a constant.

Front

What does a horizontal line look like in equation form?

Back

A horizontal line is represented by an equation of the form y = b, where 'b' is a constant.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope m, the other line's slope is -1/m.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

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

Back

Using point-slope form: y - 2 = 3(x - 1) simplifies to y = 3x - 1.

Front

How do you determine if a line is increasing or decreasing based on its slope?

Back

If the slope is positive, the line is increasing. If the slope is negative, the line is decreasing.