Question

Please help me with this answer ASAP

Answer 1

Step-by-step explanation:

first let's bring the equation into "normal" form :

x - 2y = 2

-2y = 2 - x

2y = x - 2

y = x/2 - 1

so, the slope of this line is 1/2 (the factor of x - that is always the case in all lines).

a parallel line must have the same slope, of course.

so, its equation is

y = x/2 + b

now, b will be different to the -1 of the original equation, or the lines are identical.

it is the point of interception of the line through the y-axis (x = 0).

we get this by using the coordinates of the given point (4, -3).

so,

-3 = 4/2 + b = 2 + b

b = -5

therefore, the formula for the parallel line is

y = x/2 - 5