How do you find the x and y intercepts for $5x+2y=10$ ?

Question

9514 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-15T11:56:03

The $x$ intercept is $(2,0)$ , and the $y$ intercept is $(0,5)$ .

We need to find the points in which the line crosses each axis.

The line crosses the $x$ axis in a point of the form $(x_0,0)$ . If such a point belongs to the line, then it satisfies its equation, so

$5x_0 + 2*0 = 10 -> 5x_0 = 10 -> x_0=2$

The line crosses the $y$ axis in a point of the form $(0,y_0)$ . If such a point belongs to the line, then it satisfies its equation, so

$5*0 + 2y_0=10 -> 2y_0=10 ->y_0=5$

How do you find the x and y intercepts for 5x+2y=105x+2y=10?