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

Answer:

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

Step-by-step 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;

$-2x + 4y =-16\\\\\longrightarrow -2(0)+4y =-16\\\\\longrightarrow 4y = -16\\\\\longrightarrow y =\dfrac{-16}{4}\\\\\longrightarrow y = -4$

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

$\longrightarrow -2x + 4y = -16 \\\\\longrightarrow -2x +4(0)=16\\\\\longrightarrow -2x = 16\\\\\longrightarrow x =\dfrac{16}{-2}\\\\\longrightarrow x =-8$

This is the required answer !