Question

Help me with question 32

Answer 1

The answer is H i am possibly sure it is

Answer 2

Line 1 has slope of 1 and y-intercept at 4
line 1 equation in y = mx + b form: y = x + 4

line 2 has slope of -1/2 and y-intercept of 1
you can calculate this using slope formula or count rise/run to get to next point:
like line 2 has points (-2, 2) and (0,1)

so slope = (1 - 2)/(0 - (-2) ) = -1/2

line 2 has y=mx+b form of y = -1/2x + 1

try to convert all the systems into y=mx+b form and see if they get our equations for lines 1 and 2:

line 1: y = x + 4
line 2: y = -1/2x + 1

for system F

4x + 2y = -18
2x - 2y = 9

if we try changing 4x + 2y = -18 to isolate y:

4x + 2y = -18
2y = -4x - 18
y = -4/2x - 18/2
y = -2x - 9

this choice is wrong since none of our slopes are 2

try system G:
2x + 4y = 6
-2x + 2y = 4

if we try changing 2x + 4y = 6 to isolate y

2x + 4y = 6
4y = -2x + 6
y = -2/4x + 6/4
y = -1/2x + 3/2

the graphs don't have y-intercept at 3/2 so this is wrong

try system H:
2x + 4y = 4
-2x + 2y = 8

if we try converting 2x + 4y = 4 we get

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

This matches with line 2: y = -1/2x + 1 so try converting the other equation in this system to see if this is the right answer

-2x + 2y = 8
2y = 2x + 8
y = 2/2x + 8/2
y = x + 4

So H is the answer