Write the equation of the straight line with the slope passing through the point A (3,1), perpendicular to the straight line 3y + x-4 = 0.
3 * y + x – 4 = 0;
Let us bring the equation to the form Y = k * X + b.
3 * Y = -X + 4;
Y = (-X / 3) + 0.75.
From the equation, the direct slope is equal to:
K = -1/3.
Lines are perpendicular if the product of their slopes is -1.
Then the slope of the second straight line is 3.
Equation of the second straight line: Y = 3 * X + b.
Substitute the coordinates of point A.
1 = 3 * 3 + b;
b = -8;
Y = 3 * X – 8.
Answer: The equation of the straight line Y = 3 * X – 8.
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