# 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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