Select the correct answer.

adoni [48]

Answer:

$y=\frac{-1}{2}x+7$

Step-by-step explanation:

Slope intercept form: $y=mx+b$ when $m$ is the slope of the line and $b$ is the y-intercept (the y-coordinate of the point the line crosses the y-axis)

1) Find the slope ( $m$ )

$m=\frac{y_2-y_1}{x_2-x_1}$ when the points are $(x_1,y_1)$ and $(x_2,y_2)$

We can use any two points that the table gives us to plug into this equation. For example, we can use the points (14,0) and (0,7):

$m=\frac{0-7}{14-0}\\m=\frac{-7}{14}$

Simplify the fraction

$m=\frac{-1}{2}$

So far, our equation looks like this:

$y=\frac{-1}{2}x+b$

2) Find the y-intercept ( $b$ )

The y-intercept is the y-coordinate of the point the line crosses the y-axis, or in other words, it's the value of y when x is equal to 0.

Looking at the table, we can see that y is equal to 7 when x is equal to 0, so, therefore, $b=7$ .

Now, this is our final equation after plugging in $m$ and $b$ :

$y=\frac{-1}{2}x+7$

I hope this helps!

3 0

3 years ago

Given the picture below, find x and both angles.

Lisa [10]

Answer:

x =42.5

x+8 =50.5

3x+2 = 129.5

Step-by-step explanation:

The two angles shown are supplementary, so they add to 180

x+8 + 3x+2 = 180

Combine like terms

4x+10 = 180

Subtract 10

4x = 170

Divide by 4

x =42.5

x+8 = 42.5+8 = 50.5

3x+2 = 3*42.5 +2 = 127.5 +2 = 129.5

4 0

3 years ago

Read 2 more answers

Lenox ironed 1/4 of the shirts over the weekend. she plans to split the remainder of the work equally over the next 5 evenings.

Arisa [49]

I'm not sure if I'm right but I got 21 don't depend on me to get ur answer correct tho Bc I'm not sure

3 0

4 years ago

Combine the like terms to create an equivalent expression 4n+11−2n

prohojiy [21]

Answer:

2n+11

Step-by-step explanation:

really simple

5 0

3 years ago

8^(x-3)=16^(3x+1) solve

rusak2 [61]

Answer:

x = -13/9

Step-by-step explanation:

Solve for x over the real numbers:

8^(x - 3) = 16^(3 x + 1)

Hint: | Take logarithms of both sides to turn products into sums and powers into products.

Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):

3 log(2) (x - 3) = 4 log(2) (3 x + 1)

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by log(2):

3 (x - 3) = 4 (3 x + 1)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

3 x - 9 = 4 (3 x + 1)

Hint: | Write the linear polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

3 x - 9 = 12 x + 4

Hint: | Isolate x to the left hand side.

Subtract 12 x - 9 from both sides:

-9 x = 13

Hint: | Solve for x.

Divide both sides by -9:

Answer: x = -13/9

4 0

2 years ago