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How do you find the x and y intercept given $y = - 3 x + 6$ $y= -3x+6$ ?

1 Answer

Oct 29, 2015

y-intercept $= 6$ $=6$
x-intercept $= 2$ $= 2$

Explanation:

The y-intercept is the value of $y$ $y$ when $x = 0$ $x=0$
(or, it is the value of $y$ $y$ where the line crosses the Y-axis and for all points on the Y-axis, $x = 0$ $x=0$ )
$XXX y = - 3 (0) + 6 = 6$ $color(white)("XXX")y=-3(0)+6 =6$

Similarly, the x-intercept is the value of $x$ $x$ when $y = 0$ $y=0$
$XXX 0 = - 3 x + 6$ $color(white)("XXX")0=-3x+6$
$XXX \Rightarrow x = 2$ $color(white)("XXX")rArr x=2$

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