write the quation of each line with the given properties, in slope intercept form?

Question

1) slope=-3, through (4,0)

also:
determine the slop and y- intercept of the line represented by each equation.
3x+y=4
and
20x=80+40


please show the way
thankss so much!

Answer 1

well for ur first question
slope= -3 and points are 4,0 it goes like this
put it into the formula which is

-3(x-4)=1(y-0)
so finish it up and the equation will be

-3x+12=y
into standard form
y+3x=12

2) ur second question

a) 3x+y=4

issolate y
u will get
y=-3x+4

slope=-3 and y intercept is 4 (subtitue x=0)


b) U don't have any Y (no Y no equation)
u left something out in ur last question if u still want me to help u could contact me at [e-mail]

But if I am mistaken then 120=20x
x=6

Answer 2

Slope-intercept form is y = mx+b, where m is the slope and b is the intercept. The "intercept" is the value of y when x = 0.

So for the first question, you've given m=-3 and a value for y (0) and x(4). So substitute:

0 = -3*4+b

Simplify and you know b.

For the second equation, you have to push the equation around until you get it to look like y=mx+b. In this case, it's pretty simple: subtract 3x from each side and you get:

y = 4 - 3x

If you rearrange the terms a little more you'll have the slope and y intercept.

I'll leave the last one to you, because I suspect you typed it in wrong; there's no y term in it. It's not absolutely necessary to have one, though. Do you know what that means?

Answer 3

1) y = -3x + 12, when you substitute 4 in for x, you get 0 for y.

2) 3x + y = 4
y = -3x + 4
slope = -3, y-intercept = 4

3) 20x = 80 + 40
20x = 120
x = 6
slope = infinite (vertical line), y-intercept is undefined.