Unit 4: Writing Linear Equations

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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as 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

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 equation y = mx + b.

Front

Write the equation of a line with a slope of 1 and a y-intercept of 2.

Back

y = 1x + 2 or y = x + 2.

Front

What is the equation of a vertical line?

Back

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

Front

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

Back

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

Front

What is the slope of the line represented by the equation 3x + 4y = 12?

Back

The slope is -3/4 after converting to slope-intercept form.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.