# What is the y-intercept of 2x-5y =35?

Mar 2, 2018

$\left(0 , - 7\right)$

#### Explanation:

To find the $y$-intercept of an equation, set $x$ equal to $0$ and solve:

In the case of $2 x - 5 y = 35 ,$ let's replace all instances of $x$ in the equation with $0$ and solve for $y :$

$2 \left(0\right) - 5 y = 35$

$- 5 y = 35$

$\frac{\cancel{- 5} y}{\cancel{- 5}} = \frac{35}{-} 5$

$y = - 7$

Thus, the $y$-intercept is at $\left(x , y\right) =$ $\left(0 , - 7\right) .$