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Leno4ka [110]
3 years ago
6

Write the point-slope form of the line that passes through (1, -5) and is parallel to a line with a slope of 1. Include all of y

our work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Mathematics
2 answers:
aksik [14]3 years ago
8 0
Y - y1 = m(x - x1)
slope(m) = 1...because a parallel line will have the same slope
(1,-5)...x1 = 1 and y1 = -5
now we sub
y - (-5) = 1(x - 1) =
y + 5 = 1(x - 1) <== u could leave that first " one " out if u want...
vagabundo [1.1K]3 years ago
7 0

Answer:

y+5=1(x-1)

Step-by-step explanation:

The point-slope form of a line is:

y-y_{1}=m(x-x_{1}); where y_{1} and x_{1} are the coordinates of a given point, and <em>m </em>is the slope.

In addition, when two line are parallel means that they both have the same slope. So, the point-slope form we have to find it's gonna have m=1, because is parallel to a line with that slope. Also, the given point is (1;-5).

Now, we just replace all values and isolate y:

y_{2}-y=m(x_{2}-x)\\y-(-5)=1(x-1)\\y+5=1x-1\\y=1x-1-5\\y=x-6

<h3>Therefore, the equation of the parallel line is:</h3>

y=x-6

<h3>And the point-slope form is:</h3>

y+5=1(x-1)

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Step-by-step explanation:

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