Question

Find the x-intercept and y-intercept

from the following linear equation:
-2x + 4y = -16
=
x - intercept ([?], 1)
y - intercept (1,1)
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Answer 1

`x\ intercept = (-8,0)\\\\ y\ intercept = (0,-4)`

Explanation:

A equation is given and we need to find out the x and y intercept . The given equation is ,

`\longrightarrow -2x + 4y =-16`

In order to find out the y intercept , substitute x = 0 in the given equation,as;

`-2x + 4y =-16\\\\\longrightarrow -2(0)+4y =-16\\\\\longrightarrow 4y = -16\\\\\longrightarrow y =(-16)/(4)\\\\\longrightarrow y = -4`

Again to find x intercept substitute y = 0 in the given equation, as ;

`\longrightarrow -2x + 4y = -16 \\\\\longrightarrow -2x +4(0)=16\\\\\longrightarrow -2x = 16\\\\\longrightarrow x =(16)/(-2)\\\\\longrightarrow x =-8`

This is the required answer !