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 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 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 does it mean for two lines to be perpendicular?

Back

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

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 the line y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

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

Back

Rearrange the equation Ax + By = C to solve for y: y = (-A/B)x + (C/B).

Front

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

Back

The slope is -3.

Front

If a line has a slope of 0, what can be said about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what can be said about the line?

Back

The line is vertical.