math problems...?

Question

1. What is the y-intercept of 12x + 4y = 10

a. 2.5
b. -3
c. 4
d. -12

2. Calculate the equation of the line between the points (-6, -1) and (2, -1).

a. y = -1
b. x = -1
c. y = -8x - 1
d. y = -x - 8

3. Write the equation of the line with a slope of 3/7 passing through the point (9, -2).

a. 2x -9y= - 3/7
b. y= 3/7 x +9
c. y= 3/7 x -2
d. 3x - 7y = 41

10 points to whoever gets them correct first! Thanks!

Answer 1

1.a
2.a
3.d

Answer 2

1).

What is the y intercept of 12x + 4y = 10

x = 0

12(0) + 4y = 10


4y/4 = 10/4

Dividing 4 from both sides

y = 2 The answer is " a "

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

2). y = - 1
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

3).

(9, -2)

X = 9

{ x -9}

y = - 2

{y + 2}

- - - - - - - - - - - - - - - - - - - -

y + 2 = 3/7(x - 9)

clear the fraction. Mjultiply both sides by 7

7(y + 2) = 7(3/7)(x - 9)

7y + 14 = 3(x - 9)

The distributive property on the left side


7y + 14 = 3x - 27

The distributive property on the right side

7y + 14 = 3x - 27
+ 27 +27

Adding + 27 to both sides of the equation

7y + 41 = 3x
- 7y -7y

Subtracting - 7y from both sides of the equation

41 = 3x - 7y

The andwer is " D "

Answer 3

1. 12x+4y=10
6x+2y=5 divide by 2
3x+y= 5/2 divide by 2
y=-3x+5/2 standard form y=mx+b where m is the slope and b is the y intercept.
ans 5/2 or 2.5

2. notice that this function has the same y value -1
the slope rise/run or ya-yb/xa-xb gives us zero in the numerator so a zero slope which in stadard form y=mx+b
y=-1

3.
use point slope formula ya-yb = m(xa-xb) where m=slope
y-(-2)=3/7(x-9)
y+2 =3/7(x-9)
7y+14=3(x-9) multiply each side by 7
7y+14=3x-27 distributive property
7y+14+27=3x add 27 both sides
41=3x-7y
3x-7y=41 symetric property


thanks for the question

Answer 4

1.10/4=2.5 choice (a)
2.y+1/0=x+8/8
8y+8=0
8y=-8
y=-1 choice (a)
3.y+2=3/7(x-9)
=>7y+14=3x-27
=>3x-7y=41 choice (d)

Answer 5

Doesn't anyone do their own homework anymore? I guess with the internet we don't have to know anything. Just look it up.

Answer 6

a.
a.
d.