Algebra help needed

Question

Write the equation of The line that satisfies the given conditions. Express the final equation in standard form. Contains the point ( -8, 3 ) and is parallel to the line x - 7y = 6

Answer 1

7y = x-6

y = (1/7)x - 6/7 has slope = 1/7. Any parallel line has the same slope, but different y intercept b

y=(1/7)x + b, plug in the point (-8,3), x=-8, y=3 to calculate b

3 = (1/7)(-8) + b

b = 3+ 8/7 = 21/7 + 8/7 = 29/7

y=(1/7)x + 29/7 is the parallel line through the given point, that's standard slope intercept form

or multiply by 7 to get

7y =x +29 or

x-7y = -29