Parallel and Perpendicular Lines Equations Practice

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 if two lines are parallel?

Back

Two lines are parallel if they have the same slope but 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 the line represented by the equation y = -\frac{2}{3}x - 7?

Back

The slope of the line is -\frac{2}{3}.

Front

Convert the equation 4x - 3y = 9 into slope-intercept form.

Back

The slope-intercept form is y = \frac{4}{3}x - 3.

Front

What is the y-intercept of the line y = \frac{1}{2}x - 11?

Back

The y-intercept is -11.

Front

Given two points (0, -9) and (5, -8), how do you find the slope of the line through these points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (-8 - (-9)) / (5 - 0) = 1/5.

Front

What does the variable 'k' represent in the context of line equations?

Back

The variable 'k' often represents the slope of a line in the context of linear equations.

Front

If a line has a slope of 1, what is the angle it makes with the positive x-axis?

Back

A line with a slope of 1 makes a 45-degree angle with the positive x-axis.

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.