# Algebra

Thank you Christina.. I am taking Algebra online...something I would never recommend....How would I write the equation of the line passing through (6,37) and (1,12)?

the most common way is to use y=mx + b
where m is the slope and b is the y-intercept

so the first thing you have to do is to find the slope, I will assume you know how to do that

m=(12-37)/(1-6)
=-25/-5
=5

Now pick the simpler looking of your two points, say (1,12) and substitute the x, the y and the m in your equation.

12 = 5(1) + b
so b =7 and your equation is
y = 5x+7

to test if this is right, use the point that was not used and replace its values in the equation.

Left side = 37
Right side = 5(6)+7 = 37

so we have the right equation

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