How do you find the x and y intercepts for #y=9/5x+3/5#?

1 Answer
Jim G.
Jan 4, 2016

x = #- 1/3 and y = 3/5 #

Explanation:

# y = 9/5 #x + #3/5 # is a linear equation ie. a straight line.

when a straight line crosses the x-axis the value of it's y-coordinate will be 0. By substituting y = 0 into the equation will enable us to find the corresponding x-coordinate.

y=0 : # 9/5# x + # 3/5# = 0

# 9/5 #x = #-3/5#

# x= -3/5 / 9/5 #

# x= -3/5 xx 5/9#
# x = -1/3 #
similarly when the straight line crosses the y-axis the value of it's x-coordinate will be 0 and by substituting x =0 into the equation will give the corresponding y- intercept.

x=0 : y = # 9/5 xx 0 + 3/5 #
# y= 0 + 3/5 = 3/5 #

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