Aline passes through the point , (−2,2) and has a slope of −5/2.

a line passes through the point , (2,−3) and has a slope of −5/2.

a line passes through the point , (−9,7) and has a slope of 4/3.

a line passes through the point , (2,−7) and has a slope of −5/2.

a line passes through the point , (8,−4) and has a slope of 3/4.

answer them all ; )

Step-by-step explanation:

When a point and the slope of the line are given we use slope - one point form to determine the line of the equation.

                Slope and One point form: y - y₁ = m(x - x₁)

where is the point passing through the line and

is the slope of the line.

Point: (-2,2) Slope:

∴ (x₁ ,y₁) = (-2,2) & m =

Substituting we get:

y - 2 =

⇒ 2y - 4 = -5x - 10

⇒                                         5x + 2y + 6 = 0

Point: (2,-3) Slope:

y + 3 =

⇒ 2y + 6 = -5x + 10

⇒                                         5x + 2y - 4 = 0

Point: (-9,7) Slope:

y - 7 =

⇒ 3y - 21 = 4x + 36

⇒                                        4x - 3y + 57 = 0

Point: (2,-7) Slope:

y + 7 =

⇒ 2y + 14 = -5x + 10

⇒                                        5x + 2y + 4 = 0

Point: (8,4) Slope:

y + 4 =

⇒ 4y + 16 = 3x - 24

⇒                                        3x - 4y -40 = 0