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Genrish500 [490]
2 years ago
7

The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3)

. A point is at (negative 1, negative 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point ()?

Mathematics
hyper manni
2 years ago
how you get the image in the question
2 answers:
yanalaym [24]2 years ago
7 1

Answer:

3rd and second

Step-by-step explanation:

Kipish [7]2 years ago
5 0

Answer:

y=\frac{x}{5}+\frac{12}{5}

Step-by-step explanation:

1) The Point-slope form equation is given in this form:

(x-x_{0})=m(y-y_{0})

2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)

3) Before using the Point-slope form We have to find out the slope:

m=\frac{-4-(-3)}{0-(-5)} \Rightarrow m=\frac{-4+3}{0+5} \Rightarrow m=\frac{-1}{5}

4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":

y=\frac{x}{5}+b\Rightarrow 2=\frac{-2}{5}+b\\5*10=(-2+b)*5\Rightarrow 5b=12 \Rightarrow \frac{5b}{5} =\frac{12}{5} \Rightarrow b=\frac{12}{5}

Then, the answer is:

y=\frac{x}{5}+\frac{12}{5}

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