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

User Jfga
by
6.6k points

1 Answer

3 votes

Answer:


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.

User Bigsee
by
6.3k points
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