# What are the intercepts of 3x+7y=25?

May 26, 2018

The $y$ intercept: $y = \frac{25}{7}$
The $x$ intercept: $x = \frac{25}{3}$

#### Explanation:

We have
$3 x + 7 y = 25$
For x=0$w e \ge t$y=25/7 For y=0$w e \ge t$x=25/3#

May 26, 2018

x intercept is $x = \frac{25}{3}$ and y intercept is $y = \frac{25}{7}$

#### Explanation:

$3 x + 7 y = 25$ , x intercept is obtained by putting $y = 0$

in the equation. $\therefore 3 x + 7 \cdot 0 = 25 \mathmr{and} 3 x = 25 \therefore x = \frac{25}{3}$

Therefore, x intercept is $x = \frac{25}{3}$. Similarly y intercept is obtained

by putting $x = 0$ in the equation. $\therefore 3 \cdot 0 + 7 y = 25$ or

$7 y = 25 \therefore y = \frac{25}{7}$. Therefore, y intercept is $y = \frac{25}{7}$

graph{3 x +7 y=25 [-10, 10, -5, 5]} {Ans]