QuestionWrite an equation in point-slope form of the line that passes through the given point and with the given slope .
The equation of the line is
(Simplify your answer. Type your answer in point-slope form.)
Studdy Solution
STEP 1
1. We need to write the equation of a line in point-slope form.
2. The point-slope form of a line is given by the formula: .
3. We are given a point and a slope .
STEP 2
1. Identify the components needed for the point-slope form.
2. Substitute the given values into the point-slope form equation.
3. Simplify the equation if necessary.
STEP 3
Identify the components needed for the point-slope form:
- The given point is , where and .
- The given slope is .
STEP 4
Substitute the given values into the point-slope form equation:
The point-slope form is .
Substitute , , and :
Note: The equation becomes because subtracting a negative is equivalent to adding.
STEP 5
Simplify the equation if necessary:
In this case, the equation is already in point-slope form and does not require further simplification.
Therefore, the equation of the line is:
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