Question

Write the equation of a line through (7,4) that is parallel to x-5y=10

Convert to point slope form

Answer 1

y = ( 1 / 5 ) x + ( 13 / 5 )

Explanation:

x - 5y = 10 will be y = ( 1 / 5 ) x - 2

Substitute points ( 7, 4 ) and slope ( 1 / 5 ) to y = mx + b

Solve for b

b = 13 / 5

y = ( 1 / 5 ) x + ( 13 / 5 )