Question

Which equation represents the line that passes through (-6Ė7) and (-3Ė6) ?

y=-x+9
y=-x5
y=-3x-11y
y=-3x+25
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Answer 1

The equation of the line passing through (-6, -7) and (-3, -6) is y = (1/3)x + 2.

Step-by-step explanation:

To find the equation of a line that passes through two given points, we can use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one point on the line, and m is the slope of the line.

Using the given points (-6, -7) and (-3, -6), we can calculate the slope as:

m = (y2 - y1) / (x2 - x1)

Substituting the values, we get:

m = (-6 - (-7)) / (-3 - (-6)) = 1/3

Now, choose either of the given points to substitute in the equation. Let's choose (-6, -7):

y - (-7) = (1/3)(x - (-6))

y + 7 = (1/3)(x + 6)

y = (1/3)x + 2

Therefore, the equation of the line that passes through (-6, -7) and (-3, -6) is y = (1/3)x + 2.

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