Question

Which equation represents the line that passes through (- 6 7 and (- 3 6 )?.

Answer 1

y = -1/3 x + 5

Explanation:

To write the equation, you need the slope and the y-intercept to write the equation in the slope intercept form. You did not state what form, so this is the form that I will use.

y = mx + b M is the slope and b is the y intercept.

The slope is the change in y over the change in x. For the two points we can find the change in y by using the numbers 6 and 7. We can find the change in x by using the numbers - and -6,

`(6-7)/(-3 - -3)` =
`(-1)/(-3+6)` =
`(-1)/(3)` This is the slope.

To find the y intercept (b) we will use one point and the slope. It does not matter which point that you use. I am going to use the point (-3,6).

slope (m) =
`(-1)/(3)`

x = -3

y = 6 Plug these into the equation and solve for b.

y = mx + b

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

6 = 1 + b Subtract 1 from both sides.

5 = b

y =
`(-1)/(3)`x + 5