SOLUTION: Write the equation of each line. Give the answer in standard form using only integers as the coefficients. The line through (3, 4) that is parallel to the line 5x + 3y = 9.

Question 269070: Write the equation of each line. Give the answer in standard
form using only integers as the coefficients.
The line through (3, 4) that is parallel to the line 5x + 3y = 9.
Found 2 solutions by scott8148, Alan3354:
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
parallel means same slope ___ so the x and y coefficients are the same

the constant term changes ___ just substitute the given coordinates to find the new term

5(3) + 3(4) = 27

5x + 3y = 27
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Do it like this:
A line and a point example.
Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
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Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
9x+3y = 36
3y= - 9x + 36
y = -3x + 13
The slope, m = -3
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The slope of lines parallel have the same slope.
The slope of lines perpendicular is the negative inverse, m = +1/3
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Use y = mx + b and the point (1,2) to find b.
2 = (1/3)*1 + b
b = 5/3
The equation is y = (1/3)x + 5/3 (slope-intercept form)
x - 3y = -5 (standard form)
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