Question

Graph the function below:
y = 3x +1

Answer 1

• The y-intercept : (0, 1)

• The x-intercept : (-0.333, 0)

The graph of the line y = 3x +1 with the y-intercept (0, 1) and (-1/3, 0) is attached below.

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

Given the function

`y = 3x +1`

comparing with the slope-intercept form y = mx+b of the equation of a line

Thus:

The slope of the line m = 3

The y-intercept b = 1

As the y-intercept b = 1, so the point (0, 1) represents the y-intercept because the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

The x-intercept can be determined by setting y = 0 and determining the corresponding value of x.

y = 3x+1

0 = 3x+1

3x = -1

dividing both sides by 3

3x/3 = -1/3

x = -1/3

x = -0.333

Thus, the x-intercept is: (-0.333, 0)

Thus:

• The y-intercept : (0, 1)

• The x-intercept : (-0.333, 0)

The graph of the line y = 3x +1 with the y-intercept (0, 1) and (-1/3, 0) is attached below.