Question

Find the equation of the linear function represented by the table below in slope-intercept form.xy1-52-73-94-11

Answer 1

`y=-2x-3`

Step-by-step explanation:

Given the table:

x | 1 2 3 4

y | -5 -7 -9 -11

Find the slope using the two point formula.

Take the points (1, -5) and (2, -7).

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ =(-7-(-5))/(2-1) \\ =(-7+5)/(1) \\ =-2 \end{gathered}`

Substitute the value of the slope into the slope-intercept form y = mx+c.

`y=-2x+c`

Plug the point (1, -5) into y = -2x+c to find c.

`\begin{gathered} -5=-2+c \\ c=-5-(-2) \\ =-3 \end{gathered}`

Thus, y = -2x - 3, which is the required equation of the given linear function.