SOLUTION: Determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (0,9) that is parallel to the line 3x+5y=15

Algebra ->  Graphs -> SOLUTION: Determine the equation of each line. Write the answer in standard form using only integers as the coefficients. The line through (0,9) that is parallel to the line 3x+5y=15      Log On


   

Question 98124: Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.


The line through (0,9) that is parallel to the line 3x+5y=15.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
WE NEED TO FIND THE SLOPE OF THIS LINE
3X+5Y=15
5Y=-3X+15
Y=-3X/5+15/5
Y=-3X/5+3 HERE THE SLOPE IS -3/5. (RED LINE)
THEN THE LINE THROUGH (0,9) MUST HAVE A SLOPE OR (-3/5) ALSO TO BE PARALLEL.
NOW SUBSTITUTE THESE (X,Y) VALUES (0,9) & THE SLOPE OF (-3/5) IN THE LINE EAUQTION 7 SOLVE FOR (b) THE Y INTERCEPT OF THIS LINE:
9=-3/5*0+b
b=9 FOR THE Y INTERCEPT OG THIS LINE THAT IS PARALLEL TO THE GIVEN LINE WITH A SLOPE OF (-3/5) & A Y INTERCEPT (b=9)
Y=-3X/5+9 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-3x%2F5+%2B3%2C+y+=+-3x%2F5+%2B9%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions Y = -3X/5 +3 and Y = -3X/5 +9).