P F Test 3 -- Linear Equations

Front

What is the slope of a line perpendicular to a line with a slope of 2?

Back

The slope of a line perpendicular to a line with a slope of 2 is -1/2.

Front

How do you find the x-intercept of the equation 3x - 2y = 12?

Back

To find the x-intercept, set y = 0 and solve for x. The x-intercept is (4, 0).

Front

How do you find the y-intercept of the equation 3x - 2y = 12?

Back

To find the y-intercept, set x = 0 and solve for y. The y-intercept is (0, -6).

Front

What is the general form of the equation of a line parallel to y = -4x + 3?

Back

The general form of the equation of a line parallel to y = -4x + 3 is y = -4x + b, where b is the y-intercept.

Front

What is the equation of a line parallel to y = 7 that passes through the point (3, -1)?

Back

The equation of the line is y = -1.

Front

How do you determine 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 slope of the line represented by the equation y = (1/2)x + 9?

Back

The slope of the line is 1/2.

Front

How do you find the equation of a line that is parallel to a given line and passes through a specific point?

Back

Use the slope of the given line and the point-slope form to find the equation.

Front

What is the significance of the y-intercept in a linear equation?

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

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.