SOLUTION: Write an equation of the line in standard form with integer coefficients. the line through (8, 3) parallel to x + 2y = 6

Question 664514: Write an equation of the line in standard form with integer coefficients.

the line through (8, 3) parallel to x + 2y = 6
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Parallel lines have the same slope.
..
First, structure the given line in the y = mx+b format
x + 2y = 6
Isolate y
2y = 6 - x, which is the same as 2y = -x + 6
Divide both sides by 2
y = x + or y = x + 3
...
Slope of this line is
..
For the parallel line, we now know the slope, m, is and
using the coordinates (8,3), solve for y-intercept, b.
3 = + b
3 = -4 + b
b = 3 + 4 = 7
...
The parallel line passing through (8,3) is
y = x + 7 : slope-intercept form
....
To find Standard Form
x + y = 7
Multiply entire equation by 2 to remove fraction
x + 2y = 7(2)
x + 2y - 14 = 0 : standard form
....
Red line: y = x + 3
Green line: y = x + 7

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Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
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