Coordinate Geometry Review

Front

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

Back

The slope-intercept form 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 of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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

If a line has a slope of 2/3, what is the slope of a line parallel to it?

Back

The slope of a line parallel to it will also be 2/3.

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 its slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the equation y = 2x - 7, what is the slope?

Back

The slope of the line is 2.

Front

How do you find the coordinates of a point that divides a line segment in a given ratio?

Back

Use the section formula: P(x, y) = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)), where m:n is the ratio.

Front

What is the slope of the line represented by the equation y = -2/3x + 2?

Back

The slope of the line is -2/3.