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Lemur [1.5K]
3 years ago
9

A line that includes the point (-8,-3) has a slope of -1/9. What is it’s equation in point-slope form?

Mathematics
1 answer:
Zolol [24]3 years ago
4 0
  1. the  formula that represents the equation point- slope is the following y-y1 = m(x-x1) where the point is given (-8,-3) and the slope is -1/9
  2. then you  mus substitute the values in the equation y-(-3) = -1/9[(x-(-8)] , resolving it y+3= -1/9 ( x+8) ,  y+3 =  -1/9x+9/8,  y = -1/9x +9/8-3,  y = -1/9x-15/8

of this form the equation that represent  the form point-slope is

  1. y+3= -1/9 ( x+8)

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Hi there!

In order to solve, you can use substitution. This means that you use one equation and solve for one variable, then use that one equation and plug it into the other equation. Here's how we'd do it:

WORK:
x = 12 - y (since x is already solved for, we'll use that to plug into the other given equation.
2(12 - y) + 3y = 29 (using substitution)
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x = 12 - 5
x = 7

ANSWER:
A - x = 7, y = 5

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