Directions: find the equation of each line in standard form with the given properties: 1. Slope =3, y-intercept=1
2. Passing through (0,2), slope = -4
3. Passing through (-1,3) and (1,1)
4. Passing through (1,3), slope = 1/2
5. Passing through (1/2,1) and (4,2)

Step-by-step explanation:

1) slope = 3 ; y-intercept = 1

y = mx + b

y = 3x + 1

0 = 3x + 1 -y

-1 = 3x - y

ANS: 3x - y = -1

2)   Passing through (0,2), slope = -4

y - y₁ = m(x -x₁)

y - 2 = -4(x - 0)

y - 2 = -4x

4x + y - 2 = 0

Ans: 4x + y = 2

3)Passing through (-1,3) and (1,1)

Slope =

m= -1 ; (-1 , 3)

y - y₁ = m(x -x₁)

y - 3 = (-1)(x - [-1] )

y -3 = (-1)(x +1 )

y - 3 = -x - 1

x +  y -3 = -1

x +y = -1 + 3

Ans: x + y = 2

4) Passing through (1,3), slope = 1/2

y - y₁ = m(x -x₁)

Multiply the equation by 2

2y - 6 +1 = x

2y - 5 = x

    -5 = x - 2y

Ans: x - 2y = -5

5)  Passing through (1/2,1) and (4,2)

Slope =

m = 2/7 ; (4 , 2)

y - y₁ = m(x -x₁)

7y - 14 + 8 = 2x

7y - 6 = 2x

Ans:  2x - 7y = -6

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