How do you find the x and y intercept of 2x+y=10?

Aug 28, 2016

y = (0,10) x = (5,0)

Explanation:

Use the y = mx + b formula for finding the y intercept.

$2 x + y = 10$ subtract two x from both sides

2x - 2x + y = -2x + 10 this gives

y = -2x + 10

b = the beginning the starting point or the y intercept.
so 10 is the y value of the y intercept.

y intercept = ( 0, 10 )

The slope ( m ) = -2 Think m = mountain slope the angle of the mountain.

Solve for x when y is zero

0 = -2x + 10 The x intercept will be the value when y = 0

solve for x start by subtracting 10 from both sides.

0 -10 = -2x = + 10 - 10 this gives

-10 = -2x divide both sides by -2

$- \frac{10}{-} 2 = - 2 \times \frac{x}{-} 2$ This gives

5 = x

so the value of the x intercept is ( 5,0 )