What are the intercepts of #y = 4x - 5#?

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Answer 1 · 2015-11-01T01:26:47

The y-intercept is #-5#.

The x-intercept is #5/4#.

#y=4x-5# is in the form of the slope-intercept formula for a linear equation, #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

By definition, the y-intercept is #-5#.

To find the x-intercept, make #y# equal to zero and solve for #x#.

#0=4x-5#

Add #5# to both sides.

#5=4x#

Divide both sides by #4#.

#5/4=x#

Switch sides.

#x=5/4#

The x-intercept is #5/4#.