The sum of the squares of two consecutive positive odd integers is 202. Find the numbers. Let statement and algebraic solution p
1 answer:
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Question:
On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –One-thirdx + 5 y = –One-thirdx + 3 y = 3x + 2 y = 3x − 5
Answer:
Option D: is the equation of the line
Explanation:
It is given that the line passes through the points and
We shall find the equation of the line that passes through the points and
Slope
Also, it is given that the line is perpendicular to the line having slope
Since, we know that if two lines are perpendicular, then the product of the two slope is equal to -1.
Thus, we have,
Thus, the slope of the line is and passes through the point
Now, we shall find the equation of the line using the formula,
Thus, we have,
Thus, the equation of the line is
Hence, Option D is the correct answer.