* Write the equation in slope-intercept form that passes through the points (5,6) and (3,2).
(1 Point)
HINT: Find slope. Find y-intercept. Write equation.
A y = 2x - 4
B y = -x - 9
C y = -1x + 9
D y = 2x + 4

Answer A

Step-by-step explanation:

Slope formula is y2-y1/x2-x1

2-6/3-5

-4/-2

Slope = 2

Plug into the equation with either (5,6) or (3,2)

6 = 2(5) + b

6 = 10 + b

b = -4

y = 2x - 4

the slope is 2, so 2x+b=y

substitute the values into the equation

6+b=2

the y-intercept (b) is -4

y=2x-4

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step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1