All categories

2 years ago

Write an equation in standard form for the line that has slope 1/3 and passes through (-2, 8)

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:

y - y₁ = m(x - x₁)

m = ¹/₃

(-2, 8) ⇒ x₁ = -2, y₁ = 8

Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:

y - 8 = ¹/₃(x - (-2))

y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}

3y - 24 = x + 2 {subtract x from both sides}

-x + 3y - 24 = 2 {add 24 to both sides}

-x + 3y = 26

You might be interested in

Find the interest due on $1,090 at 8% for 5 years.

Marrrta [24]

Answer:

$1601.57, $511,57 more intrest

Step-by-step explanation:

1,090*1.08^5

= 1601.5676

Round up to get 1601.57

4 0

2 years ago

Read 2 more answers

Which ratio is equivalent to the rate<br> 8 meters<br> 1 second<br> ?

KIM [24]

A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.

5 0

2 years ago

Anyone know how to do the elimination method? pls help asap

givi [52]

Hey there!

Check out image!

Answer is (-7,5)

6 0

1 year ago

Read 2 more answers

PPPLEASE HELP<br><br> do the problem

Serggg [28]

Step-by-step explanation:

1. No: angles add to more than 180 deg.

2. Yes: each side's length is between the sum and difference of the lengths of the other two sides.

3. No: not every side's length is between the sum and difference of the lengths of the other two sides.

4. Yes: for example, place the 50 deg angle between the two given sides. Another side will then make the triangle.

5. Yes: for example, use 3 cm as the short leg in a 30-60-90 right triangle.

3 0

2 years ago

Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

$A^{-1}$ = $\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]$ = $\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

4 0

2 years ago