How to find the x and y-intercepts of the following?

Question

How to find the x and y-intercepts of the following?

$(i) 9 x^{2} = y^{2}$ $(i) 9x^2=y^2$
$(i i) y^{2} - x y = 0$ $(ii) y^2-xy=0$

Also plot their graphs.

1 Answer

Impact of this question

1657 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-29T05:02:43

Both have $0$ $0$ intercepts on $x$ $x$ -axis and $y$ $y$ -axis.

Explanation:

Remember to find $x$ $x$ -intercept, put $y = 0$ $y=0$ and to find $y$ $y$ -intercept, put $x = 0$ $x=0$ .

(i) In $9 x^{2} = y^{2}$ $9x^2=y^2$ , if $y = 0$ $y=0$ , we have $x = 0$ $x=0$ and if $x = 0$ $x=0$ we have $y = 0$ $y=0$ and hence intercepts on both the axes are $0$ $0$ . Below is given the graph for the same. Note that it is equivalent to $(3 x + y) (3 x - y) = 0$ $(3x+y)(3x-y)=0$ and hence represents two lines $3 x + y = 0$ $3x+y=0$ and $3 x - y = 0$ $3x-y=0$ .

graph{9x^2=y^2 [-5, 5, -2.5, 2.5]}

(i) $y^{2} - x y = 0$ $y^2-xy=0$ , if $y = 0$ $y=0$ , we have $x = 0$ $x=0$ and if $x = 0$ $x=0$ we have $y = 0$ $y=0$ and hence in this case too intercepts care $0$ $0$ . Note that it is equivalent to $y (y - x) = 0$ $y(y-x)=0$ and hence represents two lines $y = 0$ $y=0$ i.e. $x$ $x$ -axis and $y = x$ $y=x$ .

graph{y^2-xy=0 [-5, 5, -2.5, 2.5]}

Science

Math

Humanities

... and beyond

How to find the x and y-intercepts of the following?

$(i) 9 x^{2} = y^{2}$ $(i) 9x^2=y^2$
$(i i) y^{2} - x y = 0$ $(ii) y^2-xy=0$

Also plot their graphs.

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How to find the x and y-intercepts of the following?

(i)9x2=y2(i) 9x^2=y^2 (ii)y2−xy=0(ii) y^2-xy=0 Also plot their graphs.

1 Answer

Explanation:

Related questions

Impact of this question

$(i) 9 x^{2} = y^{2}$ $(i) 9x^2=y^2$
$(i i) y^{2} - x y = 0$ $(ii) y^2-xy=0$

Also plot their graphs.