Question

What is the x-intercepts of the graph of y = 12x-5x-2

Answer 1

Y = 12x - 5x - 2

first simplify the equation by subtracting like terms (in this case):

12x - 5x = 7x

y = 7x - 2

Since you are finding the x, you must isolate the x. Do the opposite of PEMDAS.(Note: because there is a equal sign, what you do to one side, you do to the other)

y = 7x - 2

y (+2) = 7x - 2 (+2)
y + 2 = 7x
(y + 2)/7 = 7x/7

x = (y + 2)/7


x = (y + 2)/7 is your answer

hope this helps

Answer 2

X intercept = when the graph cuts the x-axis = when y = 0


y = 12x^2 -5x -2

when y = 0
12x^2 -5x -2 = 0
(3x - 2) (4x + 1) = 0
x = 2/3 or x = 1/4

So the x-intercept are (2/3, 0) and (1/4, 0)