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Alex Ar [27]
2 years ago
11

Identify an equation in point-slope form for the line parallel to y = 1*-7 that

Mathematics
1 answer:
kakasveta [241]2 years ago
4 0

<u><em>Answer:</em></u>

y + 2 = 1 (x+3) ............> y + 2 = x + 3

<u><em>Explanation:</em></u>

<u>The general form of the equation of a line in point-slope form is:</u>

y - y₁ = m (x - x₁)

<u>where:</u>

m is the slope of the line

(x₁ , y₁) is a point that belongs to the line

<u>The general form of the equation of a line in slope-intercept form is:</u>

y = mx + c

<u>where:</u>

m is the slope

c is the y-intercept

<u>1- Getting the point:</u>

We are already given the point (-3 , -2) so we'll directly use it

<u>2- Getting the slope</u>

<u>We are given that our line is parallel to the line:</u>

y = 1x - 7

We know that parallel lines have equal slopes

<u>This means that:</u>

slope of the line we want = 1

<u>3- Getting the equation:</u>

Substitute with the point and slope in the above form to get the equation

<u>This is done as follows:</u>

y - y₁ = m (x - x₁)

y - (-2) = 1 (x - (-3))

y + 2 = 1 (x + 3)

y + 2 = x + 3

Hope this helps :)

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