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choli [55]
2 years ago
10

7. Write the equation of a line which passes through the points (-3,5) and (6,23)

Mathematics
1 answer:
faust18 [17]2 years ago
7 0

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

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oksano4ka [1.4K]
1 meter = 1000 millimeters
5 0
2 years ago
What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0
1 year ago
Find the exact solution of the system of equations of x^2+y^2-4x-6y+4=0 and x^2-4x-3y+4=0
gavmur [86]
We can readily know the x^2-4x+4=3y then use it to replace the same function in the first equation which refers to the 3y+y^2-6y=0 
                                                              y^2-3y=0
                                                             y(y-3)=0
                                                               y1=0 -----------y2=3
7 0
3 years ago
Solve the equation. PLS
pochemuha

Answer:

n= 26, so the answer would be 'B'.

Step-by-step explanation:

n-8=18

n=18+8

n=26

4 0
3 years ago
Read 2 more answers
Q(h)=-8h^2-5h , find q(-10)
Sergio [31]

Answer:

-750

Step-by-step explanation:

Q(h)=-8h^2-5h ,

Let x = -10

q(-10) = -8 (-10)^2 -5(-10)

          =-8 *100 +50

            =-800+50

            = -750

3 0
2 years ago
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