Question

All I need is 1-4 and please show work.

Answer 1

Answer:

1. -20 is the y intercept

2. 2x+4y=16

2x/2+4y/2=16/2

x+2y=8

x-x+2y=8-x

2y=-x+8

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

y=-x/2+4

4 is the y intercept

3. 2y+3x=7

2y+3x-3x=7-3x

2y=-3x+7

2y/2=-3x/2+7/2

y=-3

x/2+3.5

3.5 is the Y intercept

4. -3 is the y intercept

Answer 2

Step-by-step explanation:

Question 1:

y = -5x - 20

It is already in slope-intercept form, therefore the y-intercept is -20.

When y = 0, -5x - 20 = 0, x = -4.

Hence the x-intercept is -4.

Question 2:

2x + 4y = 16

When x = 0, 2(0) + 4y = 16, 4y = 16, y = 4.

The y-intercept is 4.

When y = 0, 2x + 4(0) = 16, 2x = 16, x = 8.

Hence the x-intercept is 8.

Question 3:

2y + 3x = 7

When x = 0, 2y + 3(0) = 7, 2y = 7, y = 3.5.

The y-intercept is 3.5.

When y = 0, 2(0) + 3x = 7, 3x = 7, x = 7/3.

Hence the x-intercept is 7/3.

Question 4:

It is ambiguous as the line marks on both of the axis are not labelled. However we assume each space is 1 unit.

Reading off the graph,

we have x-intercept is 3 and y-intercept is -3.