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

1 Answer
Nov 15, 2015

Answer:

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

Explanation:

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#