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MaRussiya [10]
3 years ago
9

Find the coordinates of the points of intersection of the graphs with coordinate axes: y=− 1/4 x+2

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:


Step-by-step explanation:

Here, you can use a simple formula.

To find the point of intersection you just put x=0 or y=0.

Because, if a graph intersects x-axis, then at this point  y=0

Similarly, if a graph intersects y-axis, then at this point  x=0


So, for our given line.

y=-1/4 x +2

when , x=0 , y=-1/4 (0)+2=2

So, the graph intersects y-axis at   y=2


when , y=0 ,

then    0=-1/4 x+2

       or, 1/4 x=2

       or, x=8    [multiplying by  4]

So, the graph intersects x-axis at   x=8

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bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.

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