Write the equation of the line that contains the given point and has the given slope. (–1, 4), slope is –3

Answers

Answer 1

Answer:

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -3\n\n\n \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\n\cline{1-1}\ny-y_1=m(x-x_1)\n\n\cline{1-1}\end{array}\implies y-4=-3[x-(-1)]\n\n\ny-4=-3(x+1)\implies y-4=-3x-3\implies y=-3x+1$

Answer 2

Answer: Y = -3x + 4. This is because the y value is -4 so that would be the y intercept and -3 is the slope as said in the question

Related Questions

Pls help! i don’t understand because i wasn’t paying attention in class :(
Is 0.02 irrational or rational
A, B & C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded to 1 DP.
The volume of a cube depends on the length of its sides. This can be written in function nation as v(s). What is the best interpretation of v(3)=27
Please help me solve

When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared.

Answers

$x-number\n\n (x+3)^2-11=(x+2)^2\n\n x^2+2*3*x+3^2-11=x^2+2*2*x+4\n\n x^2+6x+9-11=x^2+4x+4\ \ |-x^2\n\n6x-2=4x+4\n\n6x-4x=4+2\n\n2x=6\ \ |:2\n\n x=3$

Answer quick for brainliest <3

Answers

Answer:

Step-by-step explanation:

A line has to be able to be straightly drawn though the points in order to be proportional

Find the x-intercept of the parabola with vertex (6,27) and y-intercept (0,-81)

Answers

The vertex form of the equation of a parabola with the vertex (h,k):
$y=a(x-h)^2+k$

The parabola has the vertex at (6,27).
$y=a(x-6)^2+27$

The y-intercept is (0,-81).
$x=0, \ y=-81 \n\Downarrow \n-81=a(0-6)^2+27 \n-81=a(-6)^2+27 \n-81=36a+27 \n-81-27=36a \n-108=36a \n(-108)/(36)=a \na=-3$

The equation of the parabola is:
$y=-3(x-6)^2+27$

y=0 at the x-intercepts.
$0=-3(x-6)^2+27 \n-27=-3(x-6)^2 \n(-27)/(-3)=(x-6)^2 \n9=(x-6)^2 \n√(9)=√((x-6)^2) \n3=|x-6| \nx-6=3 \ \lor \ x-6=-3 \nx=3+6 \ \lor \ x=-3+6 \nx=9 \ \lor \ x=3$

The x-intercepts are x=3 and x=9.

Please solve question 2.

Answers

Hello,

L=2W-3
and Area= (2W-3)W=77
==>2W²-3W-77=0

==> (W=7) or (W=-22/4 to exclude <0)
If W=7 then 2*W-3=14-3=11
Area=7*11=77

Photgraphy is 7 by 11 (cm)

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Answers

Answer: The correct option is (D) $9x^2-12y^2-11x.$

Step-by-step explanation: We are given to find the following sum of the polynomials :

$S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

$S\n\n=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\n\n=8x^2-9y^2-4x+x^2-3y^2-7x\n\n=(8+1)x^2-(9+3)y^2-(4+7)x\n\n=9x^2-12y^2-11x.$

Thus, the required sum of the polynomials is $9x^2-12y^2-11x.$

Option (D) is CORRECT.

(8x^2-9y^2-4x)+(x^2-3y^2-7x)

First, get rid of the parentheses and combine like terms

(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)

9x^2-12y^2-11x is your answer

Which inequality will have a shaded area below the boundary line?

Answers

Another twofer !

We don't know what the choices are, and we don't know where
the boundary line is. Otherwise, the question is intriguing indeed.

Other Questions

A merry-go-around horse is traveling at 10 feet per second when the merry go around is making 6 revolutions per minute. How far is the horse from the center of the merry-go-around?Please help

In △PQR, if the measures of ∠Q and ∠R are 100° and 45°respectively, find the measure of ∠P

Tyler reads of a book on Monday, of it on Tuesday, of it on Wednesday, and of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?

What is the point in the middle of a circle called?A. RadiusB. CenterC. CircumferenceD. Epicenter