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jeyben [28]
3 years ago
6

Write an equation in slope-intercept form for the line that passes through (1,9), and (3,5).

Mathematics
2 answers:
Tcecarenko [31]3 years ago
8 0

To write the equation of the line, we will use the point-slope formula.

To do this, we need a point and a slope.

We can find out slope by using the slope formula.

m = y₂ - y₁ / x₂ - x₁

So we have 5 - 9 / 3 - 1 or -4/2 which is -2.

Now let's use the point-slope formula.

y - y₁ = m(x - x₁)

Now substitute one of our points (x₁, y₁) into our formula.

So we have y - 5 = -2(x - 3).

Distributing the -2 gives us y - 5 = -2x + 6.

Moving the -5 to the right, we have y = -2x + 11.

So y = -2x + 11 is our equation.

igor_vitrenko [27]3 years ago
5 0
So first find the slope using the two given points (1,9), (3,5).

Use a formula: y2-y1/x2-x1 aka rise/run

So that makes it 5-9/3-1 = -4/2 = -2

Then you can plug in one of the given points and the slope you just found into the slope-intercept form equation.

Slope intercept form: y=mx + b
Plug in the points: (3,5) and slope - 2
5=-2(3) + b
5=-6+b
11=b
Now that we have our y intercept and our slope who can write the equation in slope-intercept form
Y = -2x + 11
This is the equation of the line. You can check it by plugging in the points given and seeing If it works

Good luck! :)
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Would someone please help me with this
Ipatiy [6.2K]

Answer:

12,000 m³

Step-by-step explanation:

  • Area of it's base = 900 m²
  • Height of the pyramid = 40 m

The volume of a pyramid = 1/3 × area of base × height

= 1/3 × 900 × 40

= 300 × 40

= 12,000 m³

4 0
2 years ago
Which of the following is the correct classification of the system of equations below?Which of the following is the correct clas
Xelga [282]
-x + 2y = 10
6y = -12x + 1

6y = -12x + 1
 6           6
  y = -2x + ¹/₆

                 -x + 2y = 10
    -x + 2(-2x + ¹/₆) = 10
-x + 2(-2x) + 2(¹/₆) = 10
           -x - 4x + ¹/₃ = 10
                -5x + ¹/₃ = 10
                       - ¹/₃   - ¹/₃
                       -5x = 9²/₃
                        -5     -5
                          x = -1¹⁴/₁₅

y = -2x + ¹/₆
y = -2(-1¹⁴/₁₅) + ¹/₆
y = 3¹³/₁₅ + ¹/₆
y = 4¹/₃₀
(x, y) = (-1¹⁴/₁₅, 4¹/₃₀)

It is intersecting, making the answer equal to C.

5 0
3 years ago
Read 2 more answers
How to I find the estimate of 25% of 230
MArishka [77]

The key to understanding the question is to keep the details at the fore.

Percentage = 25%

Amount = 230

Our answer to the estimation is given by the formula:

\begin{gathered} \text{Percentage }\cdot\text{ Amount = 25\% }\cdot\text{ 230} \\ =\frac{25}{100}\cdot230=\frac{25\cdot230}{100} \\ =57.5 \end{gathered}

8 0
11 months ago
ASAP HELP FOR NUMBER 6!! ANSWER CORRECTLY FOR 6a and B!!
Gelneren [198K]

See the attached image to see how all of the answers fill out. 

=========================================
Problem 6a

The slope of line A is -1/1 or just -1
The reason why is because we start at (0,3) and move down 1 and over to the right 1 to get to the next point (1,2). Alternatively you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.

Since the slope of line A is -1, this means that we'll write "-1" in the first row of the "constant rate of change" column. 

-----------------------------------------
The two points (0,2) and (1,3) are on the line B

Use the slope formula to get

m = (y2-y1)/(x2-x1)
m = (3-2)/(1-0)
m = 1/1
m = 1

The slope of line B is 1. Write "1" in the second row of the "constant rate of change" column.
-----------------------------------------
The points (0,-4) and (1,-2) are on line C

Slope:
m = (y2-y1)/(x2-x1)
m = (-2-(-4))/(1-0)
m = (-2+4)/(1-0)
m = 2/1
m = 2

The slope of line C is 2, which is written in the last row of the "constant rate of change" column.
-----------------------------------------
Now onto the y intercept column. 

Line A crosses the y intercept at the point (0,3) or simply 3 on the y axis. So we'll have 3 in the first row.

Write 2 in the next row under the "3" to indicate that the y intercept of line B is 2. The black line B crosses the y axis at 2 on the vertical number line.

Similarly, the y intercept for line C is -4. This red line crosses the vertical y axis at -4

-----------------------------------------

Now onto the x intercept

The x intercept of line A is 3. This is where the blue line crosses the horizontal x axis.

The x intercept of line B is -2. This is where the black line crosses the horizontal x axis.

The x intercept of line C is 2. This is where the red line crosses the horizontal x axis.
=========================================
Problem 6b

Equation D: y = 2+x 
is the same as
y = x+2

The slope here is 1 (since y = x+2 is the same as y = 1x+2) and the y intercept is 2.

The fact that 
Slope = 1
and
y intercept = 2
means we have a match with line B

-----------------------------------------

The equation y = -4+2x is the same as y = 2x-4

Slope = 2
y intercept = -4
this matches with line C

-----------------------------------------

y = 3-x is the same as y = -x+3
which can be written as y = -1x+3

Slope = -1
y intercept = 3
This matches with line A

=========================================

See the attached image to see how all of the answers fill out. 

5 0
3 years ago
Any help would be appreciated. Thank you
Anestetic [448]
14-3^2 x (-2)
=14-9 x (-2)
=14- (-18)
=32
5 0
3 years ago
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