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What is the linear equation for the two graph points (1,7) and (2,9)

What is the linear equation for the two graph points (1,7) and (2,9)?
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Find the slope=(9-7)/(2-1)=2. The linear equation has the form y=2x+c. To find c plug in a point, say, (1,7):

7=2+c making c=5, so y=2x+5 is the equation. Check by plugging in the other point (2,9):

9=4+5 is true so the equation fits: y=2x+5.

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