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

2 Answers
Jim G.
Apr 10, 2018

"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]}

iceman
Apr 10, 2018

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)

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