Question

Which linear equation best represents the data given in the table?
Answers
y=7x+4
y=7x-4
y=4x+7
y=4x-7

Answer 1

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

How to determine the linear equation

Start by calculating the slope (m) using:

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

So, we have:

$m = \frac{-10 +17}{-2 +3}$

Simplify

$m = \frac{7}{1}$

$m = 7$

The equation is then calculated as:

$y = m(x -x_1) + y_1$

So, we have:

$y = 7(x +2) -10$

Open the brackets

$y = 7x +14 -10$

$y = 7x +4$

Hence, the linear equation that represents the table is (a) y = 7x +4

Read more about linear equations at:

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