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Lena [83]
3 years ago
8

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?

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

x+2y=-11

Step-by-step 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  -\frac{1}{2}

We can write:

y=-\frac{1}{2}x+b

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

y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5

So, the equation is:

y=-\frac{1}{2}x-\frac{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=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11

The first answer choice is right.

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