Question

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 ___________

Answer 1

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