How do you find the x and y intercepts for # y=3x-2 #?
2 Answers
#y = - 2# and#x = 2/3 #
Explanation:
This is the equation of a straight line. When the line crosses the x-axis the y-coordinate will be zero. By Putting
#y = 0# we can find the corresponding value of x (the x-intercept ).Put
#y = 0# :#3x - 2 = 0# so#3x = 2 # # rArr x = 2/3 # Similarly , when the line crosses the y-axis the x-coordinate will be zero. Put
#x = 0# to find the y-intercept.Put
#x = 0# :#y= 0 - 2# #rArry=-2#
Explanation:
Given:
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This is a strait line graph so you will find that the plotted line crosses the y-axis (intercept) at the same value as the constant of
Why is this?
The y-axis crosses the x-axis at
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By the same logic, the plotted line crosses (intercept) the x-axis at y=0. So if we substitute
Add
Divide both sides by
But 3/3 = 1 giving:
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