Question

Write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equations.

(3,2),y=3x+4
(-1,-2),y=-3x+5
(-1,1),y=x-4
(1,-3),y=-4x-1
(-4,2),y=x+3
(-4,3),y=1/2x-6

Answer 1

1.y=3x-7

2.y=-3x-5

3.y=x+2

4.y=-4x+1

5.y=x+6

6.y=1/2x+5

Explanation:

parallel lines have the same slope

1.y-2=3(x-3)

y-2=3x-9

y=3x-9+2

y=3x-7

2.y-(-2)=-3(x-(-1))

y+2=-3x-3

y=-3x-3-2

y=-3x-5

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

y-1=1(x+1)

y-1=1x+1

y=1x+1+1

y=1x+2

4,y-(-3)=-4(x-1)

y+3=-4x+4

y=-4x+4-3

y=-4x+1

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

y-2=1(x+4)

y-2=1x+4

y=1x+4+2

y=1x+6

6.y-3=1/2(x-(-4)

y-3=1/2(x+4)

y-3=1/2x+4/2 simplify 4/2 to 2/1 =2

y=1/2x+2+3

y=1/2x+5