Question

What are the coordinates of the y-intercept of this function -2 1 -3 2. -2

Answer 1

To get the y-intercept, find the equation of the function

Obtain the slope (m)

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ _{} \end{gathered}`

Define the x and y values to find the slope

`x_1=-2,y_1=-6,x_2=-1,y_2=-5`
`\begin{gathered} m=(-5-(-6))/(-1-(-2))=(-5+6)/(-1+2) \\ =(1)/(1) \\ =1 \end{gathered}`

Then, find the equation using a point and the slope

`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-6)=1(x-(-2))_{}_{} \\ y+6=x+2 \\ y=x+2-6 \\ y=x-4 \end{gathered}`

From the above, the y-intercept is 4 and x value at y intercept is 0

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