# How do you find all the zeros of  y=-7x+4?

Oct 9, 2016

The zero is $\frac{4}{7}$.

#### Explanation:

The zeros of a graph are also called the roots of the related function AND the solutions of the related equation. We mathematicians do love our terminology!
In this case, there is only one solution (or root or zero), because the polynomial has a degree of one. To find the solution, you should replace $y$ with $0$ and solve the equation for $x$.

$y = - 7 x + 4$
$0 = - 7 x + 4$
$0 + 7 x = - 7 x + 7 x + 4$
$7 x = 4$
$7 \frac{x}{7} = \frac{4}{7}$
$x = \frac{4}{7}$