Writing Linear Equations for Parallel and Perpendicular Lines

What does it mean when two lines are parallel?

• They have the same slope.

• They intersect at one point.

• They never touch each other.

• They are always horizontal.

How do you find the y-intercept when you know a point and the slope?

• Divide the y-coordinate by the slope.

• Substitute the point into the y = mx + b and solve for b.

• Multiply the slope with the x-coordinate of the point.

• Add the slope to the y-coordinate of the point.

How do you determine the slope of a line parallel to another line?

• Take the negative of the original slope.

• Find the reciprocal of the original slope.

• Use the same slope as the original line.

• None of the above.

What is the equation of a line with a slope of -1 and y-intercept 4?

• y = -x + 4

• y = x - 4

• y = -x - 4

• y = x + 4

In the context of line equations, what does 'm' represent in the equation y = mx + b?

• The x-intercept

• The slope

• The y-intercept

• The point of intersection

If a line passes through the point (1, 3) and is parallel to another line with a slope of -1, what is the equation of the line?

• y = -x + 2

• y = -x + 4

• y = x - 1

• y = x + 3

What is the slope of a line perpendicular to another line with a slope of 1/2?

• 1/2

• -1/2

• 2

• -2

What is the result of taking the reciprocal of a slope of 1/2?

• 1/4

• 1/2

• 2

• -2

If a line has a slope of -1, what would be the slope of a line perpendicular to it?

• -2

• -1

• 1

• 0

What is the correct equation for a line perpendicular to y = x and passing through the point (5, 1)?

• y = -x + 6

• y = x - 4

• y = x + 4

• y = -x + 4