Which equation matches to the graph? 1. y = -x + 1/2
2. y = (-1/2)x - 1
3. y = 2x - 1
4. y = 4x + 2

2. y = -1/2x - 1

Step-by-step explanation:

First we want to find the slope of the line.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values using two points (-4, 1) & (2, -2)

(-2 - 1) / (2 - (-4))

Simplify the parentheses.

= (-2 - 1) / (2 + 4)

= (-3) / (6)

Simplify the fraction.

-3/6

= -1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -1/2x + b

b is the y-intercept when the line crosses the y-axis.

From the graph, we can see that the point on the y-axis is (0, -1)

Therefore, b is -1.

Plug this into the equation.

y = -1/2x - 1

Hope this helps!

answer:  

123455421

step-by-step explanation: easy

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}