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KATRIN_1 [288]
3 years ago
14

Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

They have the same slope

Step-by-step explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.

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Use point-slope form to write the equation of a line that passes through the point
blagie [28]

Answer:

y - 8 = -2(x - 9)

Step-by-step explanation:

Given the slope, m = -2, and the point, (9, 8):

Let (x₁, y₁) = (9, 8)

slope (<em>m </em>) = -2

We can substitute these values into the following <u>point-slope form</u>:

y - y₁ = m(x - x₁)

y - 8 = -2(x - 9)  ⇒ This is the point-slope form.

4 0
3 years ago
What type of transformation maps AQRS to AQ'R'S'?
LenaWriter [7]
The answer would be rotation
6 0
3 years ago
*100 points* *Please help* *Spam reported*
Trava [24]

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

Slope = -3/4

Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

With this equation, we can find the y-intercepts and x-intercepts

The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

   12y / 12 = 360 / 12

             y  = 30

The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

8x/8          = 360/8

x                = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x                    -8x

       12y = 360 - 8x  

12y / 12 = (360 - 8x) / 12

          y  = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

4 0
3 years ago
Read 2 more answers
I am a 2 dimensional shape that has four sides. I have two obtuse angles and two acute angles. I have two different sets of para
OLga [1]

Answer:

Quadrilateral

Step-by-step explanation:

8 0
3 years ago
Progression <br><br><br><br>I really need help with this ​
bija089 [108]

Answer:

=x+2+x+3+2x-1

=x+x+2x+2+3-1

=4x+4

6 0
3 years ago
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