Equation represents the function shown on the graph is equals to y= 4x.
" Graph is defined as the relation between two variables on the coordinate plane along x-axis and y-axis."
Formula used
Equation of the line
[tex]\frac{y-y_{1}} {x-x_{1} } =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
From the given graph,
Consider two coordinate from the given graph,
[tex](x_{1} , y_{1}) = (1,4)\\\\(x_{2} , y_{2}) = (2,8)[/tex]
Substitute the coordinate of the graph in the formula to get the equation of the function,
[tex]\frac{y-4} {x-1 } =\frac{8-4 }{2-1 }\\\\\implies \frac{y-4} {x-1 } = \frac{4}{1} \\\\\implies y-4 = 4(x-1)\\\\\implies y-4 = 4x-4\\\\\implies y = 4x[/tex]
Hence, Equation represents the function shown on the graph is equals to y= 4x.
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