Question

The graph contains a system of equations. What two equations are represented in this system? Select all that apply.

A y=-x-6
B y=2x-3
C y=-1/2x -3
D y= x-3​

Answer 1

B for the blue line because..
The slope is 2 and the y-intercept (where the line runs through the y axis) is -3

A for the red line because..
The slope is 1 and the line is going up in the left direction making it a negative slope. Then the y-intercept is -6.

Answer 2

what the. ok ok fine here Choose something close to (1.8,2.6)

Choice A

Explanation:

Without the graph provided, I would prefer to do this algebraically.

y=2x-1

y=-1/4x+3

Since both are solved for y, I'm going to replace the first y with what the second y equals.

-1/4x+3=2x-1

I don't really like to deal with fractions quite yet so I'm going to multiply both sides by 4.

-1x+12=8x-4

I'm going to add 1x on both sides.

12=9x-4

I'm going to add 4 on both sides.

16=9x

I'm going to divide both sides by 9

16/9=x

This is the same as saying x=16/9.

Now to find y, just choose one of the equations and replace x with 16/9.

y=2x-1

y=2(16/9)-1

y=32/9-1

y=32/9-9/9

y=(32-9)/9

y=23/9

So the exact solution is (16/9,23/9).

Round these numbers to the nearest tenths you get:

(1.8, 2.6) .

To get this I just typed into my calculator 16 divided by 9 and 23 divided by 9

16 divided by 9 gave me 1.777777777777777777777777777

23 divided by 9 gave me 2.5555555555555555555555555

So choose something close to (1.8, 2.6).

So your ordered pair (1.75,2.5) is pretty close to that so choice A.