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).

a) y=−2x+13

b) y=−2x+10

c) y=2x−13

d) y=2x+13

Answer 1

The equation of the line parallel to CD that passes through the point (4, 5) is y = -2x + 13.

Step-by-step explanation:

The equation of line CD is y = -2x - 2.

To find the equation of a line parallel to line CD that passes through the point (4, 5), we need to use the fact that parallel lines have the same slope. The slope of line CD is -2.

Using the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line, the equation of the line parallel to CD is y - 5 = -2(x - 4).

Simplifying the equation gives y = -2x + 13. Therefore, the correct answer is y = -2x + 13 (option a).