What is the equation of the line that passes through (4, -1) and (-2, 3)? 2 x + 3y - 5 = 0
-2 x+3y-5= 0
2 x-3 y-5= 0

A

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 ) = (4, - 1) and (x₂, y₂ ) = (- 2, 3)

m = = = - , thus

y = - x + c ← is the partial equation

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

Using (- 2, 3) , then

3 = + c ⇒ c = 3 - =

y = - x + ← in slope- intercept form

Multiply through by 3 to clear the fractions

3y = - 2x + 5 ( add 2x to both sides )

2x + 3y = 5 ( subtract 5 from both sides )

2x + 3y - 5 = 0 ← in general form

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33