What is the equation of the line, that passes through (3,-1) and (-1,5)

y = -3/2x +7/2

Step-by-step explanation:

When we have two points, we need to find the slope.

Slope is given by

m = (y2-y1)/ (x2-x1)

   = (5--1)/ (-1-3)

   = (5+1)/ (-4)

   = 6/-4

   = -3/2

We have the slope and a point

Using the point slope form of a line

y-y1 = m(x-x1)

y--1 = -3/2( x-3)

y+1 = -3/2(x-3)

They usually want the line written in slope intercept form (y=mx+b)

Distribute the -3/2

y+1 = -3/2x +9/2

Subtract 1

y+1-1 = -3/2x +9/2 -2/2

y = -3/2x +7/2

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480