Question

Which is the equation of a line with the same y-intercept as the line withequation 5x – 4y = 12?

Answer 1

5x - 4y = 12

Isolating y

`\begin{gathered} 5x=12+4y \\ 5x-12=4y \\ (5x-12)/(4)=y \\ y=(5)/(4)x-(12)/(4) \\ y=(5)/(4)x-3 \end{gathered}`

In this equation, the slope is 5/4 and the y-intercept is -3.

From the answer choices, y = 2x - 3 has the same y-intercept.