Exploring Equations of Lines and Slope Relationships

What is the defining characteristic of parallel lines?

• They have different slopes.

• They form a triangle.

• They never touch.

• They intersect at a 90° angle.

What is the relationship between the slopes of perpendicular lines?

• They are both positive.

• They are both negative.

• They are negative reciprocals.

• They are equal.

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

• Subtract the x-coordinates from the y-coordinates.

• Add the x-coordinates and y-coordinates.

• Divide the difference of y-coordinates by the difference of x-coordinates.

• Multiply the x-coordinates and y-coordinates.

If the slope of a line is -3, what is the slope of a line perpendicular to it?

• 3

• -3

• -1/3

• 1/3

What must be true for two lines to be considered parallel?

• They have the same y-intercept.

• They intersect at one point.

• They have different slopes.

• They have the same slope.

How do you determine if two lines are the same line?

• They have different slopes.

• They intersect at a 90° angle.

• They are both horizontal.

• They have the same slope and y-intercept.

In point-slope form, what information do you need to write the equation of a line?

• The x-intercept and one point on the line.

• Two points on the line.

• The slope and one point on the line.

• The y-intercept and one point on the line.

What additional step is required when writing an equation in slope-intercept form?

• Finding the x-intercept.

• Finding the distance between points.

• Finding the y-intercept.

• Finding the midpoint.

When given two points, what is the first step in finding the equation of the line?

• Find the slope.

• Find the y-intercept.

• Find the x-intercept.

• Find the midpoint.

If a line passes through the points (2, 3) and (4, 7), what is its slope?

• 3

• 4

• 1

• 2