Question

given the point (3, -6) and the slope of 1/3, which of the following is the equation of the line?
a.y=1/3x+7
b.y=1/3x+5
c.y=1/3x-7
d.y=-3x-7

Answer 1

y = mx + b

substitute the slope in place of m, and then plug in the point

The point is in the form of (x, y)

So, if the point is (1, 2), you plug in x = 1, and y = 2

Answer 2

But, that's an example.

The slope is 1/3

Replace that with m

What is the x-coordinate in the point (3, -6)
What is the y-coordinate?

Answer 3

@TheSmartOne i know the first part of the equation is going to be y=1/3x but how do you find the next part

Answer 4

y = (1/3)x + b

Now, we need to plug in a value for x and y.

What is the x-coordinate in the point (3, -6)?
What is the y-coordinate of that point?

Answer 5

is the equation b)y=1/3x+5?? @TheSmartOne

Answer 6

No

Answer the questions I asked you

Answer 7

the x -coordinates of (3,-6) is 5 right @TheSmartOne

Answer 8

\(\Large\bf (3, -6)\)
\(\Large\bf (x,~ y)\)

What is the number in place of x?
What is the number in place of y?

Answer 9

so x=3 and y=-6 right @TheSmartOne

Answer 10

yes, plug that into the equation and solve for b

Answer 11

@TheSmartOne how do you solve for b??

Answer 12

y = (1/3)x + b

-6 = (1/3)(3) + b

What is (1/3) * 3 = ?

Answer 13

1/3*3=1 @TheSmartOne

Answer 14

- 6 = 1 + b

Subtract 1 on both sides

b = -6 - 1

b = ??

Answer 15

b=-7 @TheSmartOne

Answer 16

@TheSmartOne so the answer is c.

Answer 17

@hannahduhe Yes

Answer 18

@TheSmartOne thanks for all your help i really appreciate it

Answer 19

Anytime! :)