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20 votes
20 votes
Find the equation of the linear function represented by the table below in slope-intercept form. Answer: y=

Find the equation of the linear function represented by the table below in slope-intercept-example-1
User Cygil
by
2.9k points

1 Answer

6 votes
6 votes

Answer:

y = 2x + 6

Step-by-step explanation:

The slope-intercept form of a linear equation can be found as:


y=m(x-x_1)+y_1

Where m is the slope and it is calculated as:


m=(y_2-y_1)/(x_2-x_1)

And (x1, y1) and (x2, y2) are values from the table. So, we can replace (x1, y1) by (0,6) and (x2, y2) by (1, 8):

Then, the slope is:


m=(8-6)/(1-0)=(2)/(1)=2

Therefore, the equation of the line is:


\begin{gathered} y=2(x-0)+6 \\ y=2x+6 \end{gathered}

So, the answer is y = 2x + 6

User Kabeer Arora
by
2.8k points
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