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lapo4ka [179]
3 years ago
8

Find the equation of the line parallel to 2x + 2y = 3 which passes through the point (1,4). Give your answer in the form of y =

mx + c.
Mathematics
1 answer:
Bumek [7]3 years ago
5 0
If a line is parallel to another line, then the slopes must be the same. the easiest way to find the slope is to put your equation into slope-intercept form (or y=mx+c)so 2x + 2y = 3 put into slope-intercept form would bey = -x + (3/2) by getting y alone and dividing everything by 2.now we know that the slope is -1.
for our new line, we have y = -x + cif it passes through point (1,4) this means that we can solve for the c in the equation.to do this, we can plug in 1 for x and 4 for y and solve for cthen we would get4 = -1 + cc = 5
now we know that the equation for the new line is y = -x + 5
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Write an equation of the line that passes through a pair of points: -5, -2 3, -1
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Answer: option B is correct.

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

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change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

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The equation becomes

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