Question

negatives and positives are a problem. Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

To answer this question we will use the following two points formula to compute the equation of a line that passes through two given points:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1).`

From the given table we get that the graph of the given linear function passes through (1,-5) and (2,-8) then its equation is:

`y-(-5)=(-8-(-5))/(2-1)(x-1).`

Simplifying the above result we get:

`\begin{gathered} y+5=(-8+5)/(1)(x-1), \\ y+5=-3(x-1), \\ y+5=-3x+3. \end{gathered}`

Subtracting 5 from the above result we get:

`\begin{gathered} y+5-5=-3x+3-5. \\ y=-3x-2. \end{gathered}`

Answer:

`y=-3x-2.`