Question

Pleaseeeee help me. i really need it.

Answer 1

comparing the relation given

thus y= -2x +1 to the general equation of a line

where y= mx + c

where m is the gradient and c is the intercept on the y-axis.

from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as

$\frac{ - 1}{m}$

so substituting the value of m in to the equation

$\frac{ - 1}{ - 2}$

=

$\frac{1}{2}$

as the gradient

equation of line is given by

y - y1 = m( x-x1)

from the question y1= -2 and x1=1

substitute them

y-(-2) = 1/2 (x -1)

y+2 =1/2 (x-1)

multiplying through by 2

2 (y+2) = x-1

2y +4 = x-1

2y =x-1-4

2y =x-5

x -2y -5 = 0

therefore the equation for the line is x-2y -5=0