Question

please solve this please​

Answer 1

$Answer \: \: \\ \\ Equation \: of \: a \: PERPENDICULAR \: \: \: line \: is \: \: \\ x - 2y + 3 = 0 \\ \\ Equation \: \: of \: \: a \: straight \: line \: perpendicular \: \\ to \: the \: line \: \: x - 2y + 3 = 0 \: is \\ - 2x - y + k = 0 ...Equation \: \: ..i \: \\ \\ coordinates \: of \: x \: intercept \: are \: (3 \: \: 0) \\ ie \: \: x = 3 \: \: and \: \: y = 0 \: \: \\ \\ put \: value \: of \: x \: and \: y \: in \: equation \: i \: we \: have \: \\ \\ - 2(3) - (0) + k = 0 \\ \\ - 6 + k = 0 \\ \\ k = 6 \\ now \: put \: value \: of \: in \: equation \: i \: we \: have \\ \\ - 2x - y + 6 = 0 \\ Multiply \: \: both \: sides \: by \: - \: we \: have \: \\ \\ 2x + y - 6 = 0 \\ \\ so \: the \: required \: equation \: of \: line \: is \\ 2x + y - 6 = 0 \\ \\ option \: \: d \: is \: correct \: \\ \\ Note \: \: \: \: \\ \\ Equation \: of \: line \: PERPENDICULAR \: to \: the \\ \: line \: \: \: ax + by + c = 0 \: \: \: is \: \: given \: \: by \: \\ \\ bx - ay + k = 0$

Answer 2

Answer:

Step-by-step explanation:

easy

x+3/2=y

slope=1/2

for perpendicular line m1*m2=-1

m2=-2

and findind c

0=mx+c

0=2(3)+c

c=-6

so equation is

y=2x-6