14. For the function rule y = -2x - 3, provide the x-y coordinates of the y-intercept and the x-intercept. Show your work.
to find the x coordinate we let y=0 likewise, to find the y coordinate we let x=0
so, y=-2(0)-3 and 0=-2x-3..just solve to get the respective coordinates
y=-3 -2x-3=0, -2x=-3 x=-3/-2 x=3/2
understand?
Sorry i went to the bathroom ^ ^;
ok...
so what are the x intercept as in (x,y)... and the y intercept as in (x,y) coordinates
1,2,3 for x and y is 5, 7, 9?
no...please read my 3rd comment
Alright.
ok lets go over x.. intercept
y = -2, 0, 3 x 0 = - 2x -3.
when we want to find the x intercept of a function we let y=0 ie (x,0) im change the function and replacing it with y=5x-5 ok as and example so, 0=5x-5..we replace y and put 0 we now solve for x 5x-5=0 5x-5+5=+5 5x=5 we then divide both sides of the equation by 5 to solve for x 5x/5=5/5 x=1..
Alright thanks. Do i need to make a graph?
not always only if the question ask you to...so our x intercept for the given example would be (1,0)
Alright. Thanks a lot you'r a self savor :)
do u understand the y intecept part...if not i will go it over ok
It intercepts at 0 right?
we let the x intercept =0 ie (0,y) and we solve for y...what would be the y intercept for the given example i just give?
this one y=5x-5
x is equal to 0?
yes we let x=o and solve for y y=5(0)-5
Wouldn't that be 0 too?
no
y=5*0-5 y=0-5 y=-5
Okay. Think i got it now 5*0 = 0 and 0 subtracted by -5 is just negative 5.
-5*
yes now put it in coordinate form..(x,y) we get..
x= 0 and y= -5
very good (0,-5)
Thanks. I suck at math. XD
no problem but remember that was the intercepts for the example i give not for the problem you give ok
Yeah totally understand. That's why i try in solve them before i post them unless i really have no clue where to start.
ok just to note also in the case of sketching a graph..the x intercept is where the line/curve cuts the x axis on the graph...and the y intercept is where the line/curve cuts the y axis on the graph.
Alright kool.
Join our real-time social learning platform and learn together with your friends!