2. Linear Relations and Functions
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Can you write the equation in slope-intercept form?
Yes, it can be written as f(x)=1/5x+12/5.
To determine if the given equation is a linear equation, let's first see if we can rewrite it in slope-intercept form.
f(x)=mx+b
Write as a sum of fractions
a/b=1/b* a
This is the slope-intercept form of the given equation. Below we have highlighted how it corresponds to the general slope-intercept form. f(x)=1/5x+12/5 When written this way, we can see that m=15 and b=125. Since this equation can be written in slope-intercept form, it is linear.