Write the equation of the line that passes through the points (7,6) and (6,-9) . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Question

Answer 1

To find the equation of the line that passes through the points

and

, we can use the point-slope form of a linear equation.The point-slope form of a linear equation is given by:

where

is a point on the line and

is the slope of the line.To find the slope, we can use the formula:

Substituting the given points

and

into the formula, we get:

Now that we have the slope, we can substitute one of the points and the slope into the point-slope form equation. Let's use the point

:

Simplifying the equation, we get:

Therefore, the equation of the line that passes through the points

and

is

.

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