Question

check please

Answer 1

the intercepts are where this figure (an ellipse) crosses the x and y axes
so you should have (0, ±y) and (±x,0) for your intercepts

Answer 2

to find them, replace x with 0 and solve for y
0+49y^2= 49
divide both sides by 49
y^2= 1
y= ±1

do the same with y=0 to find the x-intercepts

Answer 3

yeah i got (-7,7) and (-1,1)

Answer 4

or do you write them as (-7,0) (0,7) and (-1,0) (0,1)?

Answer 5

yes, but I would put the answers as (x,y) pairs

Answer 6

so (-7,-1) and (7,1)

Answer 7

(0,1), (0,-1), (7,0), (-7,0)

notice that if you plot these points they will be on the figure

Answer 8

oh ok i understand, and this is symmetric to the x-axis, y-axis and origin right?

Answer 9

yes, it is symmetric with the x-axis, the y-axis and the origin

Answer 10

thank you

Answer 11

Here is a plot of it
http://www.wolframalpha.com/input/?i=x%5E2+%2B49+y%5E2%3D49