Question

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

Answer 1

Answer:

y = -1/3 x + 5

Step-by-step 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,

$\frac{6-7}{-3 - -3}$ = $\frac{-1}{-3+6}$ = $\frac{-1}{3}$  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) = $\frac{-1}{3}$

x = -3

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

y = mx + b

6 = ($\frac{-1}{3}$) (-3) + b

6 = 1 + b  Subtract 1 from both sides.

5 = b

y = $\frac{-1}{3}$x + 5