Problem:
Solution:
Remember that the slope-intercept form of the line is given by the formula
y = mx+b
where m is the slope of the line, and b is the y-intercept of the line (when x = 0). Now, let the following equation:
-4x+2y= 8
to rewrite it in the form slope-intercept form (y = mx+b), then we should solve the given equation for y, that is:
2y = 4x +8
If we divide by two we obtain the equivalent:
y = 2x + 4
then 2 is the slope of the line and (0,4) is the y-intercept. Then, we can conclude that the graph of this line is: