Question

what is the x-intercept and y-intercept for this equation: y=-1/2x+3, please help and explain why, thank you

Answer 1

\[y=-1/2x+3\]

Answer 2

to find x int plug in 0 for y
to find y int plug in 0 for x

Answer 3

y int is y= -1/3
x int dne

Answer 4

wait there is an x int x = 0 is just a asymptote

Answer 5

This is currently in slope-intercept form.
y=mx+b, where m is the slope and b is the y intercept.
So first off, your y-intercept would be 3.
An x intercept would be where y=0, so we can do that now.
0=-1/2x+3
subtract 3 from both sides.
-3=-1/2x
Multiply by the reciprocal of -1/2, which is -2/1.
6=x.
So the y intercept is (0,3) and the x intercept is (6,0)

Answer 6

okay thank you! that help a lot.

Answer 7

oops, helped

Answer 8

actually, it wouldn't be (6,0) it would be (-6,0)

Answer 9

Yes, it is 6,0.
0=(-1/2)x+3
What multiplied by -1/2 would equal 0?
6.
\[-\frac{ 1 }{ 2 }x+3\]
\[-\frac{ 1 }{ 2 }(6)+3\]
\[0=-3+3\]