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

A. y = −2x + 13
B. y= -1/2x+7
C. y= -1/2x+3
D. -2x-3

A

Step-by-step explanation:

A parallel line will have the same slope as CD. The slope of CD is -2, so we can eliminate B and C.

Looking at A and D, we put in 4 for x and 5 for y in each to see if it makes the equation true. If it does, then we choose that

A) 5 =? -2(4) + 13 --> 5 =? -8 + 13 --> 5 = 5

This is correct.

D) 5 =? -2(4) - 3 --> 5 =? -8 - 3 --> 5 =? -11

This is wrong

Thus, our answer is A.

A

Step-by-step explanation:

y = −2x − 2

Parallel lines have the same slope

y = -2x + c

5 = -2(4) + c

c = 5 + 8 = 13

y = -2x + 13

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

answer: 4 (:

step-by-step explanation: