What is an equation of the line that passes through the points (6, 8) and
(-3, 2)?

y = x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (6, 8) and (x₂, y₂ ) = (- 3, 2)

m = = = , thus

y = x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (6, 8), then

8 = 4 + c ⇒ c = 8 - 4 = 4

y= x + 4 ← equation of line

step-by-step explanation:

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: