Question

what are the intercepts of y=-0.75x+3.0

Answer 1

Welcome to Openstudy!

The intercepts of a line are the points where the line intersects the x- and y-axes.
At the x-intercept, y=0. Similarly at the y-intercept, x=0.

Answer 2

@robinson312

Answer 3

so wats the answere 0,0

Answer 4

So all you need to do is to put x=0 in the equation and solve for y. That would the the y-intercept. Similarly for x.

Answer 5

so do 0=-0.75*0+3.0

Answer 6

Exactly! What do you get for the y-intercept?

Answer 7

Oops, you can only put either x or y to zero at a time, so
0=-0.75*y+3.0
and solve for y.

Answer 8

Oops again:
0=-0.75*x+3.0
and solve for x.
After that, you put x=0 and solve for y:
y=-0.75*0+3.0
That will give you the two intercepts.

Answer 9

wat I got for x is 3

Answer 10

0=-0.75x+3
0.75x=3
x=3/0.75=4
is what I got.

Answer 11

that's what I got

Answer 12

y=-0.75x+3.0

My favorite

y=-(3/4)x+3.0

(3/4)x + y = 3

\(\dfrac{x}{4} + \dfrac{y}{3} = 1\)

In the "Intercept Form", the intercepts are kind of just staring at you in those denominators.

Answer 13

ok whats the y intercept of y=7

Answer 14

Seriously? Where does y = 7 cross the y axis? Let's go with (0,7).

Answer 15

ok whats the intercept of 6x+8y=24