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What is the equation for these points and parallel to the line 5x+2y=14?

What is the equation for these points and parallel to the line 5x+2y=14?-example-1
User Brady Moritz
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1 Answer

17 votes
17 votes

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m = slope

c = y intercept

The given equation is expressed as

5x + 2y = 14

By rearranging the given equation so that it looks like the slope intercept equation, it becomes

2y = 14 - 5x

2y - 5x + 14

Dividing both sides of the equation by 2,

y = - 5x/2 + 7

By comparing with the slope intercept equation, slope = - 5/2

Recall, if two lines are parallel, it means that they have the same slope. Thus, the slope of the parallel line passing through the point (- 2, - 3) is - 5/2

We would find the y intercept by substituting x = - 2, y = - 3 and m = - 5/2 into the slope intercept equation. We have

- 3 = - 2 * - 5/2 + c = 5 + c

c = - 3 - 5 = - 8

By substituting m = - 5/2 and c = - 8 into the slope intercept equation, the equation of the paralle line is

y = - 5x/2 - 8

User Ryan Shannon
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