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

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

i believe that the answer is

b. y-1=-2(x-4)

hope this !