# How do you find the x and y intercepts for y=3x-6?

x-intercept $a = 2$
y-intercept $b = - 6$

#### Explanation:

Given equation of the line $y = 3 x - 6$

To find the x-intercept a, we set y=0, then solve for x

that is

$y = 3 x - 6$

$0 = 3 x - 6$

$6 = 3 x$

$\frac{6}{3} = \frac{3 x}{3}$

$\frac{6}{3} = \frac{\cancel{3} x}{\cancel{3}}$

$x = 2$ and this is a

so $a = 2$

from the format of the equation $y = m x + b$
We can see right away the y-intercept b

y-intercept $b = - 6$

God bless....I hope the explanation is useful