Line ab contains points a(-6,1) and b(1,4). line cd contains point d(7,2). angle abd is congruent to angle bcd and angle abc=90. what is an equation of line cd? show all steps. i give brainlests. 20 points!

To solve this problem you must apply the proccedure shown below:

1- You have that the equation of the line is:

Where is the slope and is the y-intercept.

2- Based on the information given in the problem, the lines and are parallel, which means that both have the same slope. Therefore, you can calculate the slope of :

3- Use the coordinates of the point to calculate the y-intercept:

4. Solve for :

5. The equation of the line is:

The answer is:

i believe that the answer is

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

hope this !