What is the x-intercept of #y=-3(9-x)-7+9#?

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Answer 1 · 2018-06-19T01:57:00

#color(violet)("x-intercept " = a = 25/3, " y-intercept " = -25#

#y = -3(9-x) - 7 + 9#

#"Intercept form of a linear equation is " x/a + y / b = 1#

#y = -27 + 3x - 7 + 9#

#y = 3x - 25#

#3x/25 - y/25 = 1#

#x / (25/3) + y / -25 = 1#

graph{3x - 25 [-10, 10, -5, 5]}

#color(violet)("x-intercept " = a = 25/3, " y-intercept " = -25#

Answer 2 · 2018-06-19T02:00:10

#color(brown)("x-intercept " = 25/3#

#y = -3(9-x) - 7 + 9#

#y = -27 + 3x - 7 + 9#

#y = 3x - 25#

By equating y -> 0, we can get the x-intercept

#0 = 3x - 25#

#3x = 25 " or " x = 25/3#

#color(brown)("x-intercept " = 25/3#

graph{3x-25 [-10, 10, -5, 5]}