Question

Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?

x + 2y = -11
x + 2y = -10
2x + y = -11
2x + y = -10

Answer 1

`x+2y=-11`

Explanation:

Slope intercept form of a line is given by:

`y=mx+b`

Where

m is the slope and b is the y-intercept

Given slope is
`-(1)/(2)`

We can write:

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

Now to find b, we replace x with -3 and y with -4, given, so we have:

`y=-(1)/(2)x+b\\-4=-(1)/(2)(-3)+b\\-4=(3)/(2)+b\\b=-5.5`

So, the equation is:

`y=-(1)/(2)x-(11)/(2)`

Now,

The standard form is given by:

`Ax+By=C`

So, we take x and y to left side and the constant to right side. Rearranging, we get:

`y=-(1)/(2)x-(11)/(2)\\2y=-x-11\\x+2y=-11`

The first answer choice is right.