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Determine the x-intercept and y-intercept of the following linear equations

standard form and show you did it

Determine the x-intercept and y-intercept of the following linear equations standard-example-1
User Yetty
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1 Answer

3 votes

Answer:

Explanation:

the x intercept takes coordinate (x,0)

the y intercept takes coordinate (0,y)

x intercept y intercept

40: x+y=5 (5,0) (0,5)

x=0 , y=5, when y=0 x=5

41: x-y=5 (5,0) (0,-5)

x=0, -y=5 then y=-5, when y=0, x=5

42: 3x+4y=12 (4,0) (0,3)

x=0, 4y=12⇒y=12/4⇒y=3

y=0, 3x=12⇒x=12/3⇒x=4

43: 2x+3y=6 (3,0) (0,2)

x=0 , 3y=6⇒y=6/3=2

y=0 ,3y=6 ⇒ y=6/3 ⇒y=2

44: 3x+4y=-24 (-8,0) (0,-6)

x=0 , 4y=-24⇒y=-24/4 ⇒ y=-6

y=0 , 3x=-24⇒ x=-24/3⇒x=-8

45: 1/3x+2/3y=5/6 (5/2,0) (0,5/4)

x=0 , 2/3 y=5/6 ⇒12y=15 ⇒ y=15/12 ⇒y=5/4

y=0 , 1/3 x=5/6 ⇒6x=15 ⇒x=15/6 ⇒x=5/2

46: x=-2 (-2,0) no y intercept

it is vertical line , there is no y intercept

47: y=15 no x intercept (0,15)

horixzontal line, no x intercept

48: 3x-7y=8 (8/3,0) (0,-8/7)

x=0 , -7y=8 ⇒y=-8/7

y=0 , 3x=8 ⇒x=8/3

User David Alvarez
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