The x-intercept (where y = 0) of y = 5x - 2
0 = 5x - 2
2 = 5x
x = 5/2
Answer: (5/2,0)
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The y-intercept (where x = 0) of y = 5x - 2
y = 5(0) - 2
y = -2
Answer: (0,-2)
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The x-intercept of (-2/3)x = 9
(-2/3)x = 9
x = 9 * -3/2
x = -27/2
Answer: (-27/2,0)
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The y-intercept of (-2/3)x = 9
This is a vertical line, so it never crosses the y-axis.
See what happens if we ask the question "what happens if x=0 ?"
(-2/3)0 = 9
0 = 9
Since it is never true that 0 = 9, that means x can never be 0, which means there is no y-intercept.
Answer: Does not exist.