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Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).



Solution
Step 1: Find the slope of the line 2x−3y=9. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12).

m= Answer

What would the parallel slope be?

m= Answer



Step 2: Use the slope to find the y-intercept of the parallel line.

b= Answer



Step 3: Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9

y=________ x ___________

Respuesta :

Answer:

Step 1:

m=2/3

m=2/3

(Remember parallel lines have equal slopes)

Step 2:

b= (-3)

Step 3:

y=2/3x+(-3.66666666666)E

Step-by-step explanation:

-3.6 can also be -2/3 due to the fact it goes on forever

Line given

  • 2x-3y=9
  • 3y=2x-9
  • y=2/3x-3

Comapre to y=mx+b

  • Slope=m=2/3

Parallel lines have equal slope

  • passes through (4,-1)

Equation in point slope form

  • y+1=2/3(x-4)
  • 3y+3=2x-8
  • 2x-3y-11=0