Question

Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = -1/2x + 5.

y = -2x + 2

y = 2x - 14

y = 1/2x - 8

y = -1/2x - 4

Answer 1

@jim_thompson5910

Answer 2

what's the slope of y = -1/2x + 5

Answer 3

how do i find slope

Answer 4

hint: y = mx+b is your general slope intercept equation

Answer 5

for y = mx+b, m is the slope

Answer 6

got it okay give me a minute to work it out

Answer 7

1/2 right?

Answer 8

@jim_thompson5910

Answer 9

close, -1/2

Answer 10

the slope of y = -1/2x + 5 is -1/2

any parallel line will also have a slope of -1/2 (parallel lines have equal slopes)

Answer 11

this parallel line passes through (4, -6)

so (x,y) = (4, -6)

x = 4
y = -6

Answer 12

so it would be d right away right???

Answer 13

y = mx+b

y = (-1/2)*x+b ... plug in the slope

-6 = (-1/2)*4+b ... plug in the given point

solve for b

Answer 14

yes because D is the only answer choice with a slope of -1/2

I still recommend solving for b

Answer 15

b=8 right

Answer 16

@jim_thompson5910

Answer 17

incorrect

Answer 18

-6 = (-1/2)*4+b

-6 = -2+b

-6+2 = b

-4 = b

b = -4

Answer 19

Now plug m = -1/2 and b = -4 into y = mx+b


y = mx+b

y = -1/2x - 4

Answer 20

so that shows you why D is correct

Answer 21

okay thanks for clearing that up i see what i did wrong! :)

Answer 22

you're welcome