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icang [17]
9 months ago
7

Find the equation of the linear function represented by the table below in slope-intercept form.Answer: ?(Important: Please chec

k the attached photo before answering the question)

Mathematics
1 answer:
Salsk061 [2.6K]9 months ago
5 0

The Slope-Intercept form of the equation of the line is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

The slope can be found with:

m=\frac{y_2-y_1}{x_2-x_1}

Choose two points from the table. These could be the points (1,-4) and (4,-19). You can set up that:

\begin{gathered} y_2=-19 \\ y_1=-4 \\ x_2=4 \\ x_1=1 \end{gathered}

Substituting values, you get that the slope of this line is:

m=\frac{-19-(-4)}{4-1}=-5

You can substitute the slope and the first point into the equation in Slope-Intercept form:

-4=1(-5)+b

Solve for "b":

\begin{gathered} -4+5=b \\ b=1 \end{gathered}

Therefore, the Equation of this line in Slope-Intercept form is:

y=-5x+1

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