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

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) (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 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions Y = -3X/5 +3 and Y = -3X/5 +9).
RELATED QUESTIONS
Determine the equation of the line through (0,4) with a slope of 1/3. Write the answer... (answered by tutorcecilia,stanbon)

Determine the equation of the line through (-4,7) with a slope of -2. Write the answer... (answered by tutorcecilia)

Determine the equation of each line. Write the answer in standard form using only... (answered by edjones)

Determine the equation of each line. write the answer in standard form using only... (answered by Nate)

Determine the equation of each line. Write the answers in standard form using only... (answered by mala0602@yahoo.com)

Determine the equation of each line. Write the answers in standard form using only... (answered by checkley71)

Write the equation of each line. Give the answer in standard form using only integers as... (answered by checkley77)

Write the equation of each line. Give the answer in standard form using only integers as (answered by scott8148,Alan3354)

Determine teh equation. Write the answer in standard for using only integers as the... (answered by stanbon)