Understanding Equations of Lines

What is the first step in finding the equation of a line when given two points?

• Use the slope-intercept form

• Graph the points

• Calculate the y-intercept

• Determine the slope

How do you calculate the slope of a line passing through points (4, 2) and (-2, 3)?

• -6

• 6

• -1/6

• 1/6

Which form is used to find the equation of a line when the slope and one point are known?

• Quadratic form

• Point-slope form

• Standard form

• Slope-intercept form

What is the slope of a line parallel to the line represented by 2x - y = 3?

• -2

• 2

• 1

• -1/2

If a line is parallel to another line with a slope of 2, what is the slope of the parallel line?

• 1

• -2

• 0

• 2

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

• -2

• 2

• 1/2

• -1/2

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

• Use the same slope

• Use the negative reciprocal of the slope

• Double the slope

• Subtract 1 from the slope

What is the equation of a line passing through (-1, 3) and perpendicular to 2x - y = 3?

• y = 2x + 5

• y = -1/2x + 5/2

• y = 1/2x - 5/2

• y = -2x + 5

Why is it important to know the slope when finding the equation of a line?

• It is not important

• It is essential for using line equations

• It helps in graphing the line

• It determines the y-intercept

What additional information is needed besides the slope to find the equation of a line?

• A point on the line

• The x-intercept

• The y-intercept

• Another slope