Question

Below, one description, one graph, and one equation are equivalent. Choose the proper set.

Answer 1

The equation of the first graph and second graph is y = x +3 and y = 1x +1 respectively.

The equation of a line which is passing through two points, $(x_{1}, y_{1} )$ and $(x_{2}, y_{2} )$ is given by :

$y - y_{1} = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1} )$

Now, for the 1st graph, we have :

The graph passes through (0,3) and (1,4)

So, the equation of the line is

$y-3 = \frac{4-3}{1-0} (x-0)\\y -3 = x\\y = x +3$

For the 2nd graph, we have

The graph passes through (0,1) and (1,2)

So, the equation of the line is

$y -1 =\frac{2 -1}{1-0} (x -0)$

$y - 1 = 1(x)\\y = 1x +1$

Hence, the equation of the first graph and second graph is y = x +3 and y = 1x +1 respectively.

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