How to graph y = 4 x + 3 using a table?

Question

How to graph       y    =    4    x    +    3   using a table?

Quincy Doyle · Accepted Answer

Consider it like this: You plug in something for

x

, and you follow the expression

4 x + 3

by multiplying by

4

then adding

3

, to get the corresponding output value

y

.
This equation is linear:

y = m x + b

,
where

m

is the slope (change in y over change in x) and

b

is the y-intercept (where it hits the

y

axis).

Your equation just has

m = 4

and

b = 3

.
So, let's make a quick table. You need at least two points to make a straight line, and three points to make a curve. Let's do five points though for practice.

x = - 2 \to y = 4 (- 2) + 3 = - 5

x = - 1 \to y = 4 (- 1) + 3 = - 1

x = 0 \to y = 4 (0) + 3 = 3

x = 1 \to y = 4 (1) + 3 = 7

x = 2 \to y = 4 (2) + 3 = 11

In a table it then looks like this:

[\begin{matrix} \underset{̲}{y} & \underset{̲}{|} & \underset{̲}{x} \\ - 5 & ∣ & - 2 \\ - 1 & ∣ & - 1 \\ 3 & ∣ & 0 \\ 7 & ∣ & 1 \\ 11 & ∣ & 2 \end{matrix}]

And after plotting each point by looking at

x

and

y

, and moving to the right

x

units and up

y

units (if negative, move the opposite direction), we get:
graph{4x + 3 [-2, 2, -5, 11]}
Every point we put on the table should be visible if you look at this graph.

How to graph y=4x+3 using a table?

Answered question

Answer & Explanation

New Questions in Algebra I