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

Question 664512: Write an equation of the line in standard form with integer coefficients.
the line through (8, 3) perpendicular to x + 2y = 6
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
A perpendicular line has a negative reciprocal slope.
...
Starting with x+2y=6, convert it into the linear equation format
x+2y=6
2y = -x+6
y = x + which is the same as y = x + 3
...
The slope of the lines is .
A perpendicular line will have a slope of
Where dividing is the same as multiplying the inverse,
is the same as = 2
.
More easily, the negative inverse of is
...
Knowing the slope of 2 and using the coordinates (8, 3), solve for y-intercept, b.
3 = 2(8) + b
b = 3 - 16 = -13
...
The equation of the perpendicular line that passes through (8, 3) is
y = 2x - 13 :slope-intercept from
2x - y - 13 = 0 :standard form
.....
Red line: y = x + 3
Green line: y = 2x - 13

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-Reading Boosters
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