Question

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

Answer 1

The x intercept is -10 and the y intercept is 5

Explanation:

X intercept is the value of x when y is 0
Meaning:

`x-2(0)=-10`

`x=-10`

Y intercept is the value of y when x is 0
Meaning:

`0-2y=-10`

`-2y=-10`

`(-2y)/-2=-10/-2`

`y=5`

Answer 2

x-intercept = - 10
y-intercept = 5

Explanation:

When the line crosses the x-axis , the y-coordinate at this point will be zero.
By substituting y = 0 into the equation we will obtain the x-intercept.

y= 0 : x - 0 = - 10 → x = - 10 is the x-intercept.

Similarly, when the line crosses the y-axis the x-coordinate at this point will be zero. Substituting x = 0 into the equation will give us the y-intercept.

x = 0 : 0 - 2y = - 10 → y = 5 is the y-intercept.
graph{1/2x+5 [-20, 20, -10, 10]}