Slope Intercept Form from 2 Points: (6,6) and (8,-8) "Show work"

the desired equation is y = -7x + 48

Step-by-step explanation:

As we go from (6, 6) to (8, -8), x (the "run") increases by 2 while y (the "rise") increases by 14.  Thus, the slope is m = rise/run = -14/2 = -7.

The slope intercept form of the equation of a straight line is y = mx + b.  Here we need to find b.

y = mx + b becomes 6 = -7(6) + b, or 48 = b.

Thus, the desired equation is y = -7x + 48

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form