# How do you find the x and y intercept of 5x + y = 2?

Jun 30, 2016

y-intercept = 2
x-intercept $= \frac{2}{5}$

#### Explanation:

5x + y = 2 is the$\textcolor{b l u e}{\text{ equation of a line}}$

When this line crosses the y-axis , the x-coordinate will be zero.

Substituting x = 0 into the equation allows us to obtain the corresponding y-coordinate (y-intercept).

x = 0 : 5(0)+ y = 2 → 0 + y = 2 → y = 2 is the y-intercept.

Similarly, when the line crosses the x-axis, the y-coordinate will be zero.
Substituting y = 0 into the equation will give us the corresponding x-coordinate (x-intercept ).

y = 0 : $5 x + 0 = 2 \Rightarrow 5 x = 2 \Rightarrow x = \frac{2}{5} \text{ is the x-intercept}$
graph{2-5x [-10, 10, -5, 5]}