Question

what is the x-intercept of 2x-3y-9=0?

Answer 1

2x - 3y - 9 = 0

x-intercept occurs when y = 0

Find the value of x when y = 0

2x - 3(0) - 9 = 0

2x - 9 = 0

2x = 9

x = 9/2

x = 4.5

Answer: The x-intercept is at (4.5, 0)

Answer 2

X intercept of the line
2x - 3y =9
$\frac{2}{9} x - \frac{3}{9} y = 1 \\ intercept \: form \: of \: a \: line \: is \: \\ given \: by \: \\ \frac{x}{a} + \frac{y}{b} = 1 \\ since \: in \: above \: equation \: we \: \\ a = x \: intercept \: and \: b = y \: intercept \\ then \: a \: = \frac{9}{2}$