Point Slope Form Quiz

Which of the following is the correct point slope formula?

• y = mx + b

• Ax + By = C

• y - y1 = m(x - x1)

• x - x1 = m(y - y1)

Answer explanation

The equation of the point slope form is:

y - y₁ = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

What information is needed to use the point slope formula?

• The slope of the line and two points on the line

• The slope of the line and one point on the line

• Two points on the line

• The slope and y-intercept of the line

Answer explanation

Find the slope.

(Hint: m = ?)

Mathematical Equivalence

ON

Answer explanation

Find the slope.

(Hint: m=?)

Mathematical Equivalence

ON

Answer explanation

Find the slope of the line passing through the points (1, -2) and (3, -6).

(Hint: m=?)

SHOW YOUR WORK

Mathematical Equivalence

OFF

Answer explanation

Mathematical Equivalence

ON

Answer explanation

m = 2/3

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

• (-4, 3)
• (3, -4)
• (-3, -4)
• (-4, -3)

• y
• y1
• x
• x1
• 2
• (-1)
• 1/2

Answer explanation

Substitute:

y₁=2

m=1/2

x₁=-1

So, y - 2 = 1/2 (x-(-1))

NOTE: Remember, Subtracting a negative number is the same as adding a positive number. So x − (−1) = x + 1

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

Mathematical Equivalence

ON

Answer explanation

x1 =4

y1 =-7

m = -1/4

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

SHOW YOUR WORK

Mathematical Equivalence

OFF

Answer explanation