Answer:
The attached image shows the graph for given function.
Step-by-step explanation:
We are given the following information in the question:
We have to graph the equation:
[tex]f(x) = \displaystyle\frac{3}{4}x + 2[/tex]
We first find the x intercept and the y-intercept.
y-intercept:
It is the value when x = 0 or the curve passes through the y axis.
It can be calculated as:
[tex]y = \displaystyle\frac{3}{4}x + 2\\\\y = \displaystyle\frac{3}{4}\times 0 + 2 = 2[/tex]
(0,2) is the y-intercept.
x-intercept:
It is the value when y = 0 or the curve passes through the x axis.
It can be calculated as:
[tex]y = \displaystyle\frac{3}{4}x + 2\\\\0 = \displaystyle\frac{3}{4}x + 2\\\\ x = \frac{-8}{3}[/tex]
[tex](\frac{-8}{3},0)[/tex] is the x-intercept.
To plot graph:
We plot the x-intercept and the y-intercept on the graph and join he two points with the help of a straight line. The resulting graph is the graph for given function.
The attached image shows the graph for given function.
