CFA #4

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x_1, y_1) and (x_2, y_2) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

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 slope of the line represented by the equation y = mx + b?

Back

In the equation y = mx + b, m represents the slope of the line.

Front

How do you convert the equation of a line from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y_1 = m(x - x_1)) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

The slope-intercept form of a linear equation is given by the formula: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the y-intercept from a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation of the line and solving for y.

Front

What is the equation of a line that passes through the point (2, 3) with a slope of 4?

Back

Using point-slope form: y - 3 = 4(x - 2) or y = 4x - 5.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and a point through which the new line passes.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other will have a slope of -1/m.