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Q: Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. perpendicular to 3y x and minus 4 and passes through the point (-21)?

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5

The mid-point is needed when the perpendicular bisector equation of a straight line is required. The distance formula is used when the length of a line is required.

Equation: 3x+4y = 0 => y = -3/4x Perpendicular slope: 4/3 Perpendicular equation: 4x-3y-13 = 0 Equations intersect at: (2.08, -1.56) Distance from (7, 5) to (2.08, -1.56) = 8.2 units using the distance formula

(I am going to assume you are higher or in grade 9 math) So use the y=mx + b Use the negative reciprocal of the "m"(slope) part. Do this by simply flipping the fraction. This slope will be perpendicular to the original formula.

Equation: y = 2x+10 Point: (2, 4) Perpendicular slope: -1/2 Perpendicular equation: y-4 = -1/2(x-2) => 2y = -x+10 Both equations intersect at: (-2, 6) Using distance formula: (2, 4) to (-2, 6) = 2 times square root of 5

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5

The mid-point is needed when the perpendicular bisector equation of a straight line is required. The distance formula is used when the length of a line is required.

Equation: 3x+4y = 0 => y = -3/4x Perpendicular slope: 4/3 Perpendicular equation: 4x-3y-13 = 0 Equations intersect at: (2.08, -1.56) Distance from (7, 5) to (2.08, -1.56) = 8.2 units using the distance formula

(I am going to assume you are higher or in grade 9 math) So use the y=mx + b Use the negative reciprocal of the "m"(slope) part. Do this by simply flipping the fraction. This slope will be perpendicular to the original formula.

Equation: y = 2x+10 Point: (2, 4) Perpendicular slope: -1/2 Perpendicular equation: y-4 = -1/2(x-2) => 2y = -x+10 Both equations intersect at: (-2, 6) Using distance formula: (2, 4) to (-2, 6) = 2 times square root of 5

Known equation: y = 2x+10 Perpendicular equation: 2y = -x+10 Both equations intersect at: (-2, 6) Distance from (2, 4) to (-2, 6) is sq rt of 20 using the distance formula

it is the slope formula in the equation it is the slope formula in the equation

Known equation: y = 2x+10 Perpendicular equation through point (2, 4): 2y = -x+10 Both equations intersect at: (-2, 6) Perpendicular distance from (2, 4) to (-2, 6) is 2 times square root of 5 by using the distance formula

If you think to magnetite and to a chemical formula (not equation) this formula is Fe3O4.

Area of a triangle = 0.5*base*perpendicular height Area of a parallelogram = base*perpendicular height

Line equation: 2x-y-5 = 0 => y = 2x-5 Perpendicular slope: -1/2 Perpendicular equation: y--2 = -1/2(x-2) => x+2y = 0 Both equations intersect at: (2, -1) Using distance formula from (4, -2) to (2, -1) = square root of 5