Find the equation for the line that passes through the points ( 7 , 2 ) and ( 10 , − 6 ) . Give your answer in slope intercept form

y  =  x +

Step-by-step explanation:

Use slope formula.

then substitute slope for m in y = mx + b

pick a set of coordinates and substitute them in for x and y.

Solve for b

Step-by-step explanation:

Hi there!

Slope-intercept form: where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

where two given points are and

Plug in the points (7,2) and (10,-6)

Therefore, the slope of the line is . Plug this into :

2) Determine the y-intercept (b)

Plug in one of the given points and solve for b

Add to both sides to isolate b

Therefore, the y-intercept is . Plug this back into :

I hope this helps!

the 3rd option is right

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