What is an equation of the line that goes through (4, 5) and (-3, -2)? * y = x + 1
y = 3/7x - 1
y = -x - 1
y = 7/3x + 2

y = x + 1

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, 5 ) and (x₂, y₂ ) = (- 3, - 2 )

m = = = 1 , then

y = x + c ← is the partial equation

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

Using (4, 5 ) , then

5 = 4 + c ⇒ c = 5 - 4 = 1

y = x + 1 ← equation of line

77

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet