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The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope. Find the equation of the perpendicular line using the point-slope formula.

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The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope. Simplify to find the slope of the perpendicular line . Tap for more steps...

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How To: Given the equation of a function and a point through which its graph passes, write the equation of a line perpendicular to the given line. Find the slope of the function. Determine the negative reciprocal of the slope. Substitute the new slope and the values for x and y from the coordinate pair provided into [latex] ...

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Write the equation of a line perpendicular to y = 3 8 x – 3 and whose y-intercept is (0,12). 5. Write the equation of a line that is perpendicular toy = 4 5 x – 3 that passes through the point (5,-10) Homework 1) The two lines below are not parallel. Explain why a. y - 2x =3

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The answer is an equation, in slope intercept form, of the line perpendicular to the line entered and passing through the point entered . The coordinates and coefficients may be entered as fractions, integers or decimals.(see examples below).

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Find the equation of a line that is perpendicular to y = -9x + 5 and passes through the point (3,9) 3. Find the slope-intercept form of the equation of a line that is parallel to the graphed line and that passes through the point plotted on the graph. Show Step-by-step Solutions.

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Perpendicular lines have a negative inverse slope.... Using 2x -5y = 10 rewritten as y = The slope is ... The slope of the perpendicular line will be - Using this slope and the point (3, -1), solve for y-intercept, b.-1 = - 3 + b Isolate b b = -1 + = ... The linear equation of the perpendicular line is... Red line: y = - x + 4 Green line: y = .....

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Perpendicular Line Equation : Perpendicular Line Through a Point calculator Formula: For: Line: ax + by = c Point: (x1,y1) Perpendicular Line: Y = (b/a)X - (b/a)x1 + y1. Home. Popular Baby Names by Surname; Unit Conversions; Biology; ...

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The slope "m 1" of the line perpendicular to (1) is defined as a reciprocal to "m" with negative sign: m 1 = -1/m. Thus we have for the equation of the perpendicular line: y = (B/A)x + c (2) where "c" is to be found. In order to find "c" we have to use the point (a,b).

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Example: Perpendicular Lines. Is the line x+4y=8 perpendicular to the line y=4x-13 [2 marks] The second line equation is in the desired form, but the first is not. So, subtracting x from both sides of the first equation, 4y = -x+8. Then, dividing both sides by 4, we get. y=-\dfrac{x}{4}+2