How do you find the equation of a line that passes through one point and is perpendicular?

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How do you find the equation of a line that passes through one point and is perpendicular?

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

What is the equation of a line that passes through the point (- 4 2 and has a slope of?

y = 1/2 x + 4 Final answer! We have the point ( -4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2.

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What is the equation of the line that passes through the point (- 4 4 and has a slope of 2?

What is the equation of a line that passed through the point (-4,4) and has a slope of -2? – Quora. Start with the general equation of a straight line: y = mx + b, where m is the slope and b is the y intercept. Therefore, equation of line passing through point (-4,4) and has slope of -2 is 2X+Y+4=0.

What is the equation of a line that passes through (- 2 and (- 4 )?

Summary: The slope-intercept form equation of the line that passes through (2, 4) and (4, 10) is y = 3x – 2.

What is an equation of the line that passes through the points (- 1 1 and − 2 − 4 )?

Answer: The equation of a line passing through the points (-1, 1) and (2, -4) is 5x + 3y + 2 = 0.

How do you find the equation of a perpendicular line?

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

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How to find the equation of a line given the slope?

There are two ways of solving this. One way is using the slope-intercept formula, y = mx + b And the other way is by using the point-slope formula, Example of Finding The Equation Of A Line, Given The Slope And A Point

How do you find the intercept of an equation with different slopes?

Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1. With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2.

How do you find the equation of a diagonal in a rhombus?

If (−4, 7) is one vertex of a rhombus and if the equation of one diagonal is 5x − y + 7 = 0, then find the equation of another diagonal. In a rhombus, both diagonals will intersect each other at right angle.

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