Write an equation of the line in standard form?

Question

The line has the same slope as 6x-y = 5 and the same y-intercept as the graph of 4y-9x = 8.
What is the equation in standard form?

Answer 1

m = -a/b = -6/-1 = 6

 

y-intercept of second equation:

 

4b - 9(0) = 8

 

b = 2

 

y - y₁ = m(x - x₁)

 

x₁ = 0

y₁ = b =2

m = 6

 

y - 2 = 6x

 

Standard form:

 

6x - y = -2