We have the next equation
[tex]y=\frac{7}{2}x+3[/tex]
Seeing the function we can see that it has a linear form.
To graph the linear function we must find the intercepts of the function
y-intercept:
To find the y-intercept we must replace x = 0 in the function and then solve for y
[tex]\begin{gathered} y=\frac{7}{2}(0)+3 \\ y=0+3 \\ y=3 \end{gathered}[/tex]
So, the y-intercept is the point (0, 3)
x-intercept:
To find the x-intercept we must replace y = 0 in the function and then solve for x
[tex]\begin{gathered} 0=\frac{7}{2}x+3 \\ \frac{7}{2}x=-3 \\ x=\frac{-3\cdot2}{7} \\ x=-\frac{6}{7}=-0.857 \end{gathered}[/tex]
So, the x-intercept is the point (-0.857 , 0)
Now, we have two point of the graph, we must join them and this will be our graph. This, because is a linear function.
So, the graph will be
