Writing Linear Equations & Parallel & Perpendicular Lines 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 determine if two lines are parallel?

Back

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

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Write the equation of a line with slope 2 that passes through the point (1, 3).

Back

y = 2x + 1.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

If a line has a slope of -3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be 1/3.

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 (x=0).

Front

How can you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).