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Sagot :
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
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.
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