Answer:
(-3, 0)
Step-by-step explanation:
X-intercept occurs when y=0.
Hence subst. y=0 into the equation.
[tex]y = \frac{2}{3} x + 2[/tex]
When y=0,
[tex]0 = \frac{2}{3} x + 2 \\ \frac{2}{3}x + 2 = 0 \\ \frac{2}{3} x = - 2 \\ 2x = - 2(3) \\ 2x = - 6 \\ x = - 6 \div 2 \\ x = - 3[/tex]
Thus, the x-intercept is at (-3, 0)
