PLease for the love of all that is holy help

Question

y=-2x+3, 8x+4y=12 graphed

Answer 1

I like your catchy turn of phrase!

Both equations have the same line. To see this, simplify the equation

8x + 4y = 12

by dividing each side by 4. This will make the three numbers smaller and more manageable:

2x + y = 3

Now move the 2x in this equation

2x + y = 3

to the right side of the equation:

y = -2x + 3

You can now see that it's the same equation as the first one you were given.

Fortunately,

y = -2x + 3

is already in the "point-slope" form, so we can easily graph the equation.

The y-intercept is 3, so the straight line goes through the point (0, 3) on the Y axis.

The slope -2 is negative, so the straight line runs from upper left to lower right.

Specifically, since the slope is -2, the straight line goes 2 units down for each unit that it goes to the right.

That means the line runs from the point (0, 3) to the point (1, 1), which is 2 units below and 1 unit to the right of (0, 3).

The straight line keeps going infinitely far to the lower right, through the points (2, -1) and (3, -3) and (4, -5) and (5, -7) and (6, -9) and (7, -11), etc. See the pattern? Each tie you go one unit to the right, you go 2 units down. That's because the slope is -2.

The straight line also goes infinitely far to the upper left, through the points (-1, 5) and (-2, 7) and (-3, 9) and (-4, 11) and (-5, 13), etc. See the pattern? It's just more of the same slope, from upper left to lower right.

Answer 2

8x + 4y = 12

4y = -8x + 12

y = -2x + 3

The two lines are the same.and pass through the points (0,3) and (1, 1)