The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

y = −2x + 13

y = -1/2x + 7

y = 1/2x + 3

y = − 2x − 3

which one?

Question

The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).

 y = −2x + 13

 y = -1/2x + 7

 y = 1/2x + 3

 y = − 2x − 3

which one?

anonymous · Answer

and could you also explain how you go the answer?

anonymous · Answer

parallel to the line means your new equation must have the same slope as the line  CD so it will be y= -2x+b now fill in the given point (4,5) into this new equation, since the new line must contain these points. 
 
5= -2(4)+b
-3=b

y=-2x-3, so its the last one

anonymous · Answer

thank you for the explanation! i finally understand this now! ^_^