Question

What is the equation, in slope-intercept form, of the line that passes through (0, 5) and has a slope of −1? (5 points)

a
y = −x − 5

b
y = x + 5

c
y = −x + 5

d
y = x − 5

Answer 1

start with the generic form

y = mx + b

you are given the slope (m) as -1. you are also given a point (0,5)

so you can plug in m = -1, x = 0, and y = 5, and solve for b. can you try doing that first?

Answer 2

i cant

Answer 3

well, lets try plugging them in:

5 = (-1)(0) + b

what does b equal?

Answer 4

i need the answer pls

Answer 5

im new to this

Answer 6

Please keep in mind we are an educational site and we strive to each, rather than to give out the answer.

5 = (-1)(0) + b

can you try multiplying (-1) * 0?

Answer 7

0

Answer 8

good!

so 5 = (-1)(0) + b

becomes

5 = 0 + b

what does b equal now?

Answer 9

5?

Answer 10

awesome!

so going back to:

y = mx + b

we just fill in our m and b values (m = -1 and b = 5)

to get y = (-1)x + 5, which is also equal to y = -x + 5 (answer choice c)

Answer 11

thank you