Question

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

Answer 1

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