Question

Find an equation of the line that satisfies the given conditions. Through (-1, -14); perpendicular to the line passing through (2,-2) and (6,-4)

Answer 1

To find through the line the equation of (-1, -14) , & passing through line that pass perpendicular to 12,-2) 4 (6,4) Solution - slope of point the live (2,-2) in 4 passes (6-4) through is m = -4-(-2) 7e-4, ngx Since, the passes their mm required line is t through (2,-2) 4 slope multiplication to the line (6-4) therefore is equal to - mez Lx 6 y = 2x + b Now plecy this lines value of fortes through (n. 4) es (-1,-14) (-1,-14)

-14 = - 14 - - 21-1) + b - 2 + b ba -14 + 9 = -12 Equation of the required line is Merc 2 Equation of the line that passes through I (-9, 1) 4 parallel to line x = 7 Answert x =r7 is a vertical line line parallel to x=7 must be so a vertical line. Therefore any line parallel to x=7 must be of the foom x " some constant" it is given that the line passes through then x that passes parallel = -9 is the I required through (-9, 1) to x = 7. line and

(1,1) 3 Equation of line passes through a parallel to line y = 9x - 7 Answer: - Slope of line y 8x of line ya 9x - 7 i slope of the required line is also 9. 9x + 1 Since, it on , therefore passes of through (1,1) (x, y) es (1,1) put value I = 9+ b 32 - 9 32 - 8 I y = 9x - 8) is the equation of the required line. Equation of the line passes through (9,-1) I & its slope undefined. Answer: An undefined slope indicates that it is a vertical line parallel to y-axis and pasting through all points in the plane with an x-coordinate a constant The equation is in the from x =c

In this case, the 19,-1) and is the constant - cordinate. line therefore is the passes the value through constant of the x = al is the of equation required the line x-intercept = -4€ 5) Equation of line having y intercept = 2 tas - The x fy intercept there for the line passes of line are &-4 & 2 through (-4,0) 4 (0,2) slope 8 - 0 0-(-u) 2 - of the reg line - - y exub x, y) + (-4,0) as it 0 - $ 1-4) + b - Plug posses thoough this o -2th the required line. To 2 kindly | Rate