NettetIf you assume they are on the original line, then you would get the wrong value for y intercept. Lets try: say y = 2x + 3 and you want a perpendicular that goes through (-2,4) Rather than point slope, I will use the slope intercept equation and substitute. y = =1/2 x + b, so 4 = -1/2 (-2) + b, 4 = 1 + b, b = 3 and your perpendicular equation is ... NettetTranscribed Image Text: Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point P (- 2, 4) b) parallel to the z-axis and through …
What is the equation of a Line Parallel to x-Axis?
Nettet15. mar. 2024 · We know that If a straight line is parallel and below to x-axis at a distance b, then its equation is y = -b. Therefore, the equation of a line parallel to the x-axis at a … Nettet30. mar. 2024 · Let AB be the line passing through P (0, 2) & making an angle 2𝜋/3 with positive x-axis Slope of line AB = tan θ = tan (2𝜋/3) = tan (120°) = tan (180 – 60° ) = –tan (60°) = –√3 (tan (180 – θ) = –tan θ) (tan 60° = √3 ) We know that Equation of line passing through (x0, y0) & having slope m (y – y0) = m (x – x0) Equation of line AB passing … hip portable toilet
Equation of Line Parallel to X-Axis - Cuemath
NettetFor the equation of the line parallel to x axis ,we assume the equation as a one variable equation independent of x containing y equal to -5. We get the equation as (iv) We are given the co-ordinates of the Cartesian plane at (3,4). Nettet25. apr. 2024 · Let assume that L be the required line which is parallel to x-axis and passing through the point(3, 5). As it is given that, line L is parallel to x - axis. So, slope of line L, m = 0. Now, we know. Equation of line which passes through the point (a, b) and having slope m is given by NettetAs the line is parallel to x−axis a+bλ=0 so, λ=(−ba) Putting λ=(−a/b) in equation (1), we get ax+2by+3b+(−ba)(bx−2ay−3a)=0 Since it is parallel to x−axis, so coefficient of x=0. Hence we get: y(2b+2 ba 2)+3b+3 ba 2=0 On simplifying we get y=−23 So it is 23 units below x-axis Was this answer helpful? 0 0 Similar questions homes for sale in bridgetown nesbit ms