Question

Write the equation for the line in standard form

Answer 1

Step-by-step explanation:

a parallel line has the same slope (inclination).

the slope is always the factor of x in the line equation, which is 1/2.

the standard form of a line is

y = ax + b

we know a = 1/2.

to get b we use the given point :

-5 = 1/2 × -6 + b

-5 = -3 + b

b = -2

so our line equation is

y = (1/2)x - 2

but if your teacher understands "standard form" as "point-slope" form (I don't, but others do), then we need to use

y - y1 = a(x - x1)

where (x1, y1) is a point on the line.

and that form would then be in our case

y - -5 = (1/2)(x - -6)

y + 5 = (1/2)(x + 6)