Question

at what point will the graph of the linear equation 3x - 5y = 45 cut the (1) x axis (2) y axis

Answer 1

Answer:

The points at which the graph will cuts the co-ordinate axes are (15,0) and (0,-9)

Step-by-step explanation:

The given linear equation is $3x-5y-45=0$ and we are required to find the points at which the graph will cut the co-ordinate axes.

Any graph with linear equation $f(x,y)=ax+by+c=0$ cuts x axis at$y=0$ and cuts y axis at $x=0$

Hence,

The given graph cuts x axis if

$3x-0-45=0= > 3x=45\\= > x=15$

Similarly,the given graph cuts y axis if

$0-5y-45=0= > y=-9$

Therefore,

The points at which the graph will cuts the co-ordinate axes are (15,0) and (0,-9)

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