Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ? O y = x + 2
O y = x-2
O y = -x + 2

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240