same as before, is the proportion of one, the same as the other? let's do the same here without much fuss.

![\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~2\frac{1}{3}~~}{\frac{3}{4}}=\cfrac{~~4\frac{2}{3}~~}{1\frac{1}{2}}\implies \cfrac{~~\frac{7}{3}~~}{\frac{3}{4}}=\cfrac{~~\frac{14}{3}~~}{\frac{3}{2}}\implies \cfrac{7}{3}\cdot \cfrac{4}{3}=\cfrac{14}{3}\cdot \cfrac{2}{3}\implies \cfrac{28}{9}=\cfrac{28}{9}~~\textit{\Large \checkmark}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B3%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ccfrac%7B~~2%5Cfrac%7B1%7D%7B3%7D~~%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D%5Ccfrac%7B~~4%5Cfrac%7B2%7D%7B3%7D~~%7D%7B1%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B~~%5Cfrac%7B7%7D%7B3%7D~~%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D%5Ccfrac%7B~~%5Cfrac%7B14%7D%7B3%7D~~%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B7%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B3%7D%3D%5Ccfrac%7B14%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B2%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B28%7D%7B9%7D%3D%5Ccfrac%7B28%7D%7B9%7D~~%5Ctextit%7B%5CLarge%20%5Ccheckmark%7D)
Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula
where
and
are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is

Now we know that the equation of a line passing through a point
and with slope m is given by

Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
To learn more about the equation of the line visit:
brainly.com/question/21511618
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