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Sever21 [200]
3 years ago
11

Write the linear equation that gives the rule for this table.

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

The linear equation that gives the rule for this table will be:

  • y=x+25

Step-by-step explanation:

Taking two points from the table

  • (2, 27)
  • (3, 28)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:27\right),\:\left(x_2,\:y_2\right)=\left(3,\:28\right)

m=\frac{28-27}{3-2}

m=1

We know the slope-intercept form of linear equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'

y=mx+b

27 = 1(2)+b

27-2 = b

b = 25

Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation

y=mx+b

y=1(x)+25

y=x+25

Thus, the linear equation that gives the rule for this table will be:

  • y=x+25
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