Question

Which equation does the graph of the systems of equations solve?

Answer 1

one halfx + 4 = 2x − 1
−one halfx + 4 = −2x − 1
−one halfx − 4 = 2x − 1
one halfx − 4 = −2x + 1

Answer 2

You can identify the lines y=mx+b from the graph
m is the slope
b is the y-intercept

Answer 3

How can I insert that into the formula? The graph confuses me since its a continuous line

Answer 4

First identify the y-intercept of the blue line. This is where the line passes the y-axis what is the y-intercept?

Answer 5

1 is when it intersects

Answer 6

Correct :)

Now in the drawing above I noted that the line has a travel of 2 units down and 1 unit run this would mean it has a slope of -2.

So the blue line is \(\large\bf{y=-2x+1}\).

Now what would be the y-intercept of the red linee?

Answer 7

-4 would be it

Answer 8

Nice :)

Now with this line we see it has a travel of 1 unit up and 2 units run (right) this would mean it has a slope of \(\large\bf{\frac{1}{2}}\).

So the equation for the red line is \(\large\bf{y=\frac{1}{2}x-4}\)

Answer 9

would D be the answer then?

Answer 10

Yes sir.

Answer 11

Thanks!!!

Answer 12

np :)

Answer 13

Could you please help with a few more? I would appreciate it