How do you determine the intercepts of #y=5x-13#?

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Answer 1 · 2016-12-26T03:22:14

The y-intercept is: -13 or (0, -13).

The x-intercept is 13/5 or (13/5, 0)

Because this equation is in the slope-intercept form #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and and #color(blue)(b)# is the y-intercept we know for this equation the y-intercept is: -13 or (0, 13).

To find the #x# intercept we need to set #y = 0# and solve for #x#:

#0 = 5x - 13#

#0 + color(red)(13) = 5x - 13 + color(red)(13)#

#13 = 5x - 0#

#13 = 5x#

#13/color(blue)(5) = (5x)/color(blue)(5)#

#13/5 = (color(blue)(cancel(color(black)(5)))x)/cancel(color(blue)(5))#

#13/5 = x# or #x = 13/5#

Therefore the x-intercept is 13/5 or (13/5, 0)