Answer:
[tex]\[y=-2x+13\][/tex]
Step-by-step explanation:
Equation of the line CD is given as [tex]\[y=-2x-2\][/tex]
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by [tex]\[y=mx+c\][/tex]
[tex]\[y=-2x+c\][/tex]
But this line passes through (4,5)
Substituting the values in the equation:
[tex]\[5=-2*(4)+c\][/tex]
=> [tex]\[c=5+8=13\][/tex]
So the overall equation of the parallel line is given by [tex]\[y=-2x+13\][/tex]
