Exercise 1 Page 71

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+bIn this form, m is the slope and b is the y-intercept.

f(x)=x+12/5

WriteSumFrac

Write as a sum of fractions

f(x)=x/5+12/5

MoveNumRight

a/b=1/b* a

f(x)=1/5x+12/5

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.