Fine the distance between (-8, 4) and (-8, -2)

The distance between the two points is six units.

Step-by-step explanation:

We are given two coordinate pairs:

With these, we can find the distance between the two using the distance formula. The distance formula is:

Additionally, we need to label our coordinates. In math, coordinates are labeled as (x₁, y₁) and (x₂, y₂).

Therefore, our coordinate pairs can be labeled in this format.

(-8, 4)

(-8, -2)

Now, we can substitute these values into the formula and solve for d.

Therefore, the distance between the two points is six units.

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