Understanding Slopes and Equations

What is the first step in finding the slope between two points?

• Find the y-intercept

• Calculate the midpoint

• Label the coordinates

• Draw a graph

Which form is used to write an equation when you have a point and a slope?

• Standard form

• Slope-intercept form

• Quadratic form

• Point-slope form

What is the standard form of an equation?

• x^2 + y^2 = r^2

• y - y1 = m(x - x1)

• Ax + By = C

• y = mx + b

How do you eliminate fractions in standard form equations?

• Add the fractions

• Multiply by the denominator

• Subtract the fractions

• Divide by the numerator

What characteristic do parallel lines share?

• Same length

• Same x-intercept

• Same slope

• Same y-intercept

How can you identify parallel lines without graphing?

• Check if they are horizontal

• Check if they have the same slope

• Check if they have the same y-intercept

• Check if they intersect

What is the relationship between the slopes of perpendicular lines?

• They are both positive

• They are equal

• They are negative reciprocals

• They are both zero

What must you do to verify if two lines are perpendicular?

• Check if they have the same slope

• Check if their slopes are negative reciprocals

• Check if they intersect at the origin

• Check if they have opposite slopes

In practice problems, what is the first step to determine if lines are parallel or perpendicular?

• Find the y-intercept

• Calculate the midpoint

• Convert to slope-intercept form

• Draw the lines

If two lines have the same slope and y-intercept, what can be said about them?

• They are neither

• They are the same line

• They are perpendicular

• They are parallel