Question

A line passing through​ (6,a) and ​(9,-4) is parallel to 2x-3y=6. What is the value of​ a?

Answer 1

Answer:

a= -6

Step-by-step explanation:

Please see attached picture for full solution.

I skipped a few steps while rewriting the equation into the form of y=mx+c

Here's the step-by-step working if you don't understand:

2x -3y= 6

2x= 3y +6 (+3y on both sides)

2x -6= 3y (-6 on both sides)

3y= 2x -6

y= 2/3x -2 (÷3 throughout)