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

2 Answers
Jun 19, 2018

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

Explanation:

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

Jun 19, 2018

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

Explanation:

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]}