Question

Can you help me find the equation of the line

Answer 1

`y=(2)/(3)x+1`

Explanation:

Slope-Intercept Line Equation:

`y=mx+b`

Where
`m` is the slope and
`b` is the y-intercept.

From the graph, we can see that the y-intercept is (0, 1). This means that the equation is currently:

`y=mx+1`

To find the slope, we can use a point on the line to replace the x and y variables. The point that we use cannot have x equal to zero. If we use the x-intercept
`(-1.5, 0)`, the new equation will be:

`0=m(-1.5)+1`

Then, we must find m:

`0=m(-1.5)+1`

`-1=m(-1.5)`

`(-1)/(-1.5)=m`

`m=(2)/(3)`

Now we can find the equation of the line:

`y=(2)/(3)x+1`