Question

COuld someone help me with Geometry B please? 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). (4 points)

y = -2x + 13
y = x + 7
y = x + 3
y = − 2x − 3

Answer 1

Hi. I think I can help.

Answer 2

Okay Thanky you! i'm having a hard time with this i've been thinking its C but i think i'm wrong

Answer 3

Thank you*

Answer 4

the slope of parallel lines are equal so m=-2

Answer 5

y = -2x - 2

In y = mx + b form, the slope is in the m position. So the slope of this equation is -2. A parallel line will have the same slope.

Now we use y = mx + b
slope(m) = -2
(4,5)..x = 4 and y = 5
now we sub
5 = -2(4) + b
5 = -8 + b
5 + 8 = b
13 = b

so your parallel equation is : y = -2x + 13

Answer 6

then plug in the point (4,5) to the y=mx+b equation to find the y-intercept, so 5=4(-2) + b..simplify so b=13...thus, your equation is y=-2x + 13

Answer 7

Okay! Thank you so much! I've been stuck on this one for awhile:/