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How do you find X and Y intercepts

Sagot :

0dessa
X and Y intercepts are when a function crosses the x or y axis. 
x-intercepts are at (x-value, 0) and y-intercepts are at (0, y-value).

To find the place where a function crosses the x or y axis, you must plug zero in for the opposit variable. This means plugging in 0 in the equation for y when you try to find x-intercepts and 0 in for x when you try to find y-intercepts, and then solve.

EX. the simple linear equation y = 4x + 2

find the x-intercept: 0 = 4x +2 
                             -2      -2
                              ------------
                                  4
(-.5, 0)

find the y-intercept: y = 4(0) +2
                                  y= 2 
(0,2)

apologiabiology
the x intercept is when the line crosses the x axis
   the place where the line crosses the x axis is also when y=0
the y intercept is when the line crosses the y axis
   the place where the line crosses the y axis is also when x=0

so lets say you have the equation in slope-intercept form
which is y=mx+b

m=slope
b=y-intercept

to find the x intercept, set y to zero and solve
to find the y intercept, find b or set x to zero and solve (which cancels out mx and leaves b)

so exg
y=3x+4
x intercept=y=0 so 0=3x+4
subtract 4 from both sides
-4=3x
divide boht sides by 3
-4/3=x intercept


so y intercept
y=3(0)+4
y=0+4
y=4=y intercept
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