Question

Help Please.. 1 /2x + y = 4 What is the x-intercept? What is the y-intercept?

Answer 1

x - intercept = 8

y - intercept = 4

Explanation:

In order to to find x- intercept, plug y = 0, in the given equation of line.

`\frac{1} {2} x+y = 4\\\\</p><p>\frac{1} {2} x+0 = 4..(plug \: y = 0)\\</p><p>\frac{1} {2} x = 4\\</p><p>x = 2* 4\\</p><p>x = 8\\</p><p>\huge \red {\boxed {\therefore x-intercept = 8}}`

In order to to find y- intercept, plug x = 0, in the given equation of line.

`\frac{1} {2} x+y = 4\\\\</p><p>\frac{1} {2} * 0+y = 4..(plug \: x = 0)\\</p><p>0+y = 4\\</p><p>y = 4\\</p><p>\huge \purple {\boxed {\therefore y-intercept = 4}}`