What is the #x# and #y# intercept of the line #-\frac { 7} { 5} x - 4y = 7#?

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Answer 1 · 2018-05-14T04:55:57

x-intercept: #(-5, 0)#

y-intercept: #(0, 7/4)#

To find the x-intercept, set #y = 0#:

#-7/5x - 4(0) = 7#

#-7/5x = 7#

#-7x = 35#

#=>x = -5#

To find the y-intercept, set #x = 0#:

#-7/5(0) - 4y = 7#

#-4y = 7#

#=>y = 7/4#