Answer :

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:

View image YasmaniN156705
View image YasmaniN156705