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)?

Answer:y=-2x+13Step-by-step explanation:Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.The slope of y=-2x-2 is -2 since m=-2.A line that is parallel to the given line is going to have the same slope.So we already know the equation we are looking for should be in the form y=-2x+b.We just to need to find b.We can use the given point on our line do that.5=-2(4)+b5=-8+b8+5=b13=bSo the equation is y=-2x+13.