Question 2

10. Write an equation in point-slope form and slope-intercept form for the line.

olga2289 [7]

We can use the points (2, -2) and (4, -1) to solve.

Slope formula: y2-y1/x2-x1

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

= -3/6

= -1/2

Point slope form: y - y1 = m(x - x1)

y - 2 = -1/2(x + 2)

Solve for y-intercept.

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

-2 = -1 + b

-2 + 1 = -1 + 1 + b

-1 = b

Slope Intercept Form: y = mx + b

y = -1/2x - 1

______

Best Regards,

Wolfyy :)

5 0

3 years ago

Help would be appreciated ( Grade 4 homework )

saul85 [17]

9514 1404 393

Answer:

(B) 4

Step-by-step explanation:

Consider the units column. The only sum of 3 and a single digit that will end in 1 is the sum ...

3 + 8 = 11

This tells you A = 8, so the top number is 1983, and the middle number is B78.

Considering the first two columns, we know that 83 +78 = 161, so there must be a carry of 1 into the third column. That makes it have the sum ...

1 + 9 + B = <something ending in 4>

We know the something cannot be 04 or 24, so must be 14. Then ...

10 + B = 14 ⇒ B = 4

__

So, the whole sum is ...

1983 +478 = 2461

and the letter values are ...

A = 8
B = 4
D = 2

3 0

3 years ago

Read 2 more answers

A line includes the points (0,2) and (1,6) What is the equation of the line in slope intercept form?

erica [24]

Answer:

y = 4x + 2

Step-by-step explanation:

$\frac{y^{2}-y^{1} }{x^{2} -x^{1} }$

$\frac{6-2}{1-0} = \frac{4}{1}$

y = 4x + 2

4 0

3 years ago

Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61

Irina-Kira [14]

$ 2772 is paid in state income tax

Solution:

Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income

Federal taxable income = $61,600

To find: Amount paid by Tina in state income tax

Tax rate = 4.5 %

Which means, 4.5 % of $61,600 is paid as tax

$Tax\ Rate = 4.5 \% \text{ of } 61600$

Here, "of" means multiplication or product

$Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772$

Thus $ 2772 is paid in state income tax

7 0

3 years ago

Given ABC find the values of x and y. In your final answer, include all of your calculations.

kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be $\frac{x}{6} =\frac{6}{x-9}$

Firstly, cross-multiply: $x^2-9x=36$

Next, subtract 36 on both sides: $x^2-9x-36=0$

Next, replace -9x with 3x-12x $x^2+3x-12x-36=0$

Next, factor x^2+3x and -12x-36 separately: $x(x+3)-12(x+3)=0$ . After, rewrite it as $(x-12)(x+3)=0$

Next, solve for x separately in the two parentheses:

$x-12=0\\ x=12$

$x+3=0\\ x=-3$

Since we can't have a negative length, x = 12.

To solve for y, our proportion will be $\frac{y}{9} =\frac{12}{y}$

Firstly, cross-multiply: $y^2=108$

Next, just square root each side, and your answer will be (rounded to hundredths) $y=10.39$

In short, x = 12 and y = 10.39.

5 0

3 years ago