Question

Which of the following has a y-intercept of 3 y=3x+2 or x=3or y=2x+3 or y=x

Answer 1

We conclude that the equation y=2x+3 has a y-intercept of 3.

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

Given the equation

y = 3x+2

comparing with the slope-intercept form y = mx+b

The slope-intercept of y = 3x+2 is: 2

Given the equation

x=3

Does not have a y-intercept.

Given the equation

y=x

comparing with the slope-intercept form y = mx+b

The slope-intercept of y=x is: 0

Given the equation

y=2x+3

comparing with the slope-intercept form y = mx+b

The slope-intercept of y=2x+3 is: 3

Thus, we conclude that the equation y=2x+3 has a y-intercept of 3.