How to find the #y#-intercept of the line # y=x+2#?

2 Answers
Apr 10, 2018

Answer:

#"y-intercept "=2#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#y=x+2" is in this form"#

#"with y-intercept "=2#
graph{x+2 [-10, 10, -5, 5]}

Apr 10, 2018

Answer:

#y=2#

Explanation:

#y=x+2#
In the slope-intercept form of:
#y=mx+b#
Where: m is the slope and b is the y-intercept, thus in this case:
The slope is 1 and the y-intercept is simply 2.

2nd methode:
To find the x or y intercepts in any form of the equation of the line, simply set y or x to zero and solve for x or y respectively.
For example in this case:
#y=x+2# => to find the x-intercept set y to zero and solve for x:
#0=x+2#
#x=-2# => the x-intercept is at:(-2, 0)

#y=x+2# => to find the y-intercept set x to zero solve for y:
#y=0+2#
#y=2# => the y-intercept is at:(0, 2)