a line that passes through the two points with the coordinates (6,8) and (-3,7)

Question

___x+___y=____

Number bank-
-32
-6
-5
-3
-1
1
3
5
6
32

Answer 1

The equation of the line passing through the points (6,8) and (-3,7) is:

3x - y = -11

Answer 2

It is easy to see that neither of the given points lies on the line 3x-y = -11.

Answer 3

Apologies for the mistake in the previous response. Let's re-calculate the equation of the line passing through the points (6,8) and (-3,7).

To find the equation of the line passing through two points, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where:
(x1, y1) = (6,8) and (-3,7) are the given points.

First, let's find the slope (m):

m = (y2 - y1) / (x2 - x1)
m = (7 - 8) / (-3 - 6)
m = -1 / -9
m = 1/9

Now we can substitute one of the points along with the slope (m) into the point-slope form to find the equation of the line:

Using point (6,8):
y - 8 = (1/9)(x - 6)
y - 8 = (1/9)x - 2/3
9y - 72 = x - 6
9y = x + 66
x - 9y + 66 = 0

Therefore, the equation of the line passing through the points (6,8) and (-3,7) is x - 9y + 66 = 0.