Question

Write the equation of this line in slope-intercept form

Answer 1

`\it y=ax+b\\ \\ x=0 \Rightarrow y=-4 \Rightarrow b=-4 \Rightarrow y=ax-4\\ \\ x=3 \Rightarrow y=-3 \Rightarrow a\cdot3-4=-3\bigg|_(+4)\Rightarrow a\cdot3=1 \bigg|_(:3)\Rightarrow a=(1)/(3) \\ \\ Therefore, the\ equation\ of\ this \ line\ is: \ \ y=(1)/(3)x-4`

Answer 2

`y = (1)/(3) x - 4`