WebAug 24, 2024 · So the perpendicular line would be of the form y = (9/7)x + c We are told that the new line also passes through P (4,0). Use this point to calculate c: 0 = (9/7)* (4) + c 0 = (36/7) + c c = - (36/7) The equation is thus y = (9/7)*x - (36/7) The format is requested to be ax + by + c = 0 (9/7)x -1y - (36/7) = 0 Bob WebProof of the Perpendicular Distance Formula. Let's start with the line Ax + By + C = 0 and label it DE. It has slope \displaystyle-\frac {A} { {B}} −BA. We have a point P with …
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WebLet A be the point 1,2 , y = x be the perpendicular bisector AB and x 2y +1 =0 be the angle bisector of ∠ C. If the equation of BC is given by ax + by 5 =0, then the value of a + b is. Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. WebTo find where y=1/2x+5 and the original line y=-2x intersect, set them equal to each other. Let y in both of the equations equal the same value. You are doing this because at the two … blue sperm whale
If the line a x + by + c = 0 is such that a = 0 and b , c ≠ 0 ... - Toppr
WebProof : Let m 1 be the slope of the given line and m 2 be the slope of a line perpendicular to the given line. Then, Let c 2 be the y-intercept of the required line. Then, its equation is. bx – ay + λ, where λ = a c 2 = constant. To write a line perpendicular to a given line we proceed as follows : 1). Interchanging x and y. WebJun 20, 2024 · How to find the slope of a line parallel or perpendicular to another line of the form Ax + By = C WebJun 6, 2024 · If ax + by = c, then by = -ax + c So, y = (-a/b)x + c/b. This line has slope -a/b. The vector from (0,0) to (a,b) is parallel to any line with slope b/a. Since -a/b and b/a are negative reciprocals, the vector from (0,0) to (a,b) is perpendicular to the line ax + by = c. Upvote • 0 Downvote Add comment Report Mark J. answered • 06/06/19 Tutor blue sphere corp stock price