Question

Help please! How do I graph f(x)=3/4x+2? What points do I plot?

Answer 1

(0, 2 ), (4,5)

to draw a graph of a straight line , we only require 2 points

select any 2 values for x, substitute them into the equation for the corresponding y- coordinates

x = 0 → y = 0+2 = 2 ⇒ (0, 2)

x = 4 → y = 3+2 = 5 ⇒ (4, 5)

Plot these 2 points and draw a straight line through them for graph

Answer 2

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:

$f(x) = \displaystyle\frac{3}{4}x + 2$

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:

$y = \displaystyle\frac{3}{4}x + 2\\\\y = \displaystyle\frac{3}{4}\times 0 + 2 = 2$

(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:

$y = \displaystyle\frac{3}{4}x + 2\\\\0 = \displaystyle\frac{3}{4}x + 2\\\\ x = \frac{-8}{3}$

$(\frac{-8}{3},0)$ 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.