# How do you find the x and y intercept of y = 7x + 3?

Jul 14, 2016

Intercepts are: $x = - \frac{3}{7} \mathmr{and} y = 3$

#### Explanation:

As long as an equation of a straight line is in the form $y = m x + c$, the y-intercept is obtained immediately from 'c'.

To find the y-intercept, make $x = 0$
To find the x-intercept, make $y = 0$

If $x = 0 : \text{ " y = 7(0) +3 " } \Rightarrow y = 3$

If $y = 0 : \text{ } 0 = 7 x + 3$
$\text{ "7x = -3 " } \Rightarrow x = - \frac{3}{7}$