Question

Graph the linear equation using the slope intercept form . -11x+2y=1

Answer 1

We will have the following:

*First: We solve for y:

`-9x+2y=1\Rightarrow2y=9x+1`
`\Rightarrow y=(9)/(2)x+(1)/(2)`

*Second: We determine two sets of points that belong to the line. In our case we will solve for x = 0 & x = 2. So we would get:

*For x = 0:

`y=(9)/(2)(0)+(1)/(2)\Rightarrow y=(1)/(2)`

So, we would have the point:

`(0,(1)/(2))`

*For x = 1:

`y=(9)/(2)(1)+(1)/(2)\Rightarrow y=5`

So, we would have the point:

`(1,5)`

*Third: We graph: