<PRE><B>Question 920557</B>
Finding the X and Y intercepts of 8X - 6Y = -24
Two rules
the x intercept occurs when y = 0, to find x intercept, substitute 0 for y
8x - 6(0) = -24
8x + 0 = -24
x = -24/8
x = -3 is the x intercept
and
the y intercept occurs when x = 0, to find the y intercept substitute 0 for x
8(0) - 6y = -24
0 - 6y = -24
y = -24/-6
y = +4
:
You can confirm this graphically, put the equation into the slope intercept form and plot it
8x - 6y = - 24
-6y = -8x - 24
y has to be positive, mult by -1
6y = 8x + 24
divide by 6
y = {{{8/6}}}x + 4
plot this equation and it will look like this
{{{ graph( 300, 200, -6, 5, -4, 6, (8/6)x+4) }}}
note that the graph intercepts the x axis at -3 and the y axis at + 4
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