Question 136844
The line equation is: Y=mX+b WHERE m=SLOPE & b=Y INTERCEPT.
-2x-8y=16
first we must isolate the y term on the left side of the equation.
-8y=2x+16
y=2x/-8+16/-8
y=-x/4-2 this is the line equation in standard form.
THE Y INTERCEPT IS b=-2
TO FIND THE X INTERCEPT WE SET Y=0 & SOLVE FOR X.
0=-X/4-2
-X/4=2
-X=2*4
-X=8
X=-8 FOR THE X INTERCEPT.
PROOF IS IN THE FOLLOWING GRAPH:
{{{ graph( 300, 200, -10, 5, -10, 10, -x/4 -2) }}} (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, -x/4 -2).