SOLUTION: Find an equation of the the line satisfying the given conditions.
Through (-2, 4); parallel to 9x - 6y = -54
Algebra.Com
Question 286151: Find an equation of the the line satisfying the given conditions.
Through (-2, 4); parallel to 9x - 6y = -54
Found 2 solutions by checkley77, Alan3354:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Through (-2, 4); parallel to 9x - 6y = -54
-6Y=-9X-54
Y=-9X/-6-54/-6
Y=3X/2+9 (RED LINE)
THIS LINE HAS A SLOPE=3/2 THUS A PARALLEL LINE WILL ALSO HAVE A SLOPE OF 3/2.
4=3/2*-2+b
4=-6/2+b
4=-3+b
b=4+3
b=7
Y=3X/2+7 (GREEN LINE)
(graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 3x/2 +9 and 3x/2 +7).
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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)
-----------------
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
------------------
The slope of lines parallel is the same.
The slope of lines perpendicular is the negative inverse, m = +1/3
----------------
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)
------------------------
For further assistance, or to check your work, email me via the thank you note.
RELATED QUESTIONS
Write an equation of the line satisfying the given conditions.
Through (4,-5); parallel... (answered by Alan3354)
Find an equation of the the line satisfying the given conditions.
Through (2, 8);... (answered by nerdybill)
find an equation of the line satisfying the conditions given. express your answer in the (answered by mananth)
find an equation of the line satisfying the given conditions.
parallel to the line... (answered by josmiceli,funmath)
find an equation of the line satisfying the conditions given. Express your answer in... (answered by mananth)
Find an equation for the line satisfying the given conditions.
Through (2, 5) and... (answered by Alan3354)
Find an equation of the the line satisfying the given conditions.
Through (3, 15);... (answered by checkley77)
Find an equation of the line satisfying the conditions given:
Parallel to 3x – y = -5... (answered by Alan3354)
Find an equation of the line satisfying the given conditions. Through (-6,7); parallel to (answered by Boreal,greenestamps)