Question

Write a linear equation that contains the points shown in the table.

Group of answer choices

y = 7x + 1

y = x - 7

y = 7x + 3

y = 2x - 3

Answer 1

y=7x+1

Explanation:

From the table, the difference in y is 7 and the difference in x is 1.

Let the linear equation be

`y = mx + b`

Where m is the constant difference in y divided by the constant difference in x.

This means m=7/1=7

Our equation now becomes:

y=7x+b

To find b, we substitute any ordered pair from the table.

From the to table, when x=1, y=8.

This implies that,

8=7(1)+b

b=8-7=1

Therefore the equation is y=7x+1