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inn [45]
2 years ago
13

Type the slope intercept equation of the line tjat passes through the points 2,0and 0,-2

Mathematics
2 answers:
maksim [4K]2 years ago
5 0
We know that the slope intercept formula is y = mx+b
We also know that when x is zero, the coordinate gives us the y-intercept (which is "b"). Therefore, (0, -2) tells us directly that the b is -2. Then we need to find the slope. We can use the the slope formula, which is Y2 - Y1/X2-X1    (0-2/2-0 = -2/2 = -1). Using the formula, we determine the slope (m) is -1. With that known information, we can conclude that the slope intercept equation is y = -x - 2
Hope this helps :)
Sedbober [7]2 years ago
3 0
Hey there!

The slope-intercept equation is written as follows:

y = mx + b

Where m is the slope and b is the y-intercept. Therefore, we need both to write the form in slope-intercept. First, we'll find the slope.

To find the slope, we can use the slope given two points formula, which is defined as:

y2-y1/x2-x1

Plug in values (2,0) and (0, -2):

-2-0/0-2 = -2/-2 = 1

Now, we can use one of the points we have and our slope to set it equal to y, plug in x and the slope, and solve for b. We'll use (2, 0). We have:

0 = 1(2) + b

Remember, 0 is the y, 1 is the slope, and 2 is the x.

0 = 2 + b

-2 = b

Therefore, our equation is:

y = x - 2

Hope this helps!
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* Which expression is equivalent to 7(p + 5) *​
luda_lava [24]

Answer:

7(p+5)

=7p+35

this two be equivalent since when you expand it's the sama

7 0
2 years ago
10 < –2b or 2b + 3 > 11
Zinaida [17]
<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.

</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign:  -5 > b, which is the interval b < -5:  (-infinity, -5).

</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4:  (4, infinity).

It may be helpful to graph these sets.

If you really do mean   "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals:  b < -5 and b > 4.

</span>
5 0
3 years ago
. The temperature on Monday was −5∘C . By Tuesday the temperature rose to −2∘C. Find the change in temperature.
Alekssandra [29.7K]

Answer: 3^{\circ}C

Step-by-step explanation:

Given

The temperature on Monday was -5^{\circ}C

By Tuesday, it becomes -2^{\circ}C

Change in temperature is the difference between the two temperatures.

\Rightarrow \Delta T=-2-(-5)\\\Rightarrow \Delta T=-2+5\\\Rightarrow \Delta T=3^{\circ}C

Therefore, the change in temperature is 3^{\circ}C.

3 0
2 years ago
What is the value of x?
vivado [14]

Answer:

33.5

Step-by-step explanation:

4x+5+41=180

4x+46=180

4x=180-46

4x=134

4x=33.5

6 0
2 years ago
Imagine you had 40 one-metre sections of fencing.
Darya [45]

Answer: If I’m not mistaken, the largest area is 75 m2 and the smallest is 2 m2

Step-by-step explanation:

For both : since they are asking for the area, you should calculate the perimeter.

So for the largest area, since you know that you have 40 fences, and each are 1 meter long, and they’re also asking for the largest rectangular area, this means that only the opposite sides will have the same length, so in order to divide the rectangle with the 40 one-meter fences, the biggest sides have to be 15 meters long (so for both : 15x2=30 meters). Then you deduct from 40, 30 : 40-30 = 10 which then you can devide by 2 and find 5 + 5 and that means that the 2 smallest sides will be 5 meters long each. Then finally to calculate the perimeter you should do the biggest side multiplied by the smallest side : 15 x 5 and you find 75 m2 (squaremeters), if I’m not mistaken.

And for the smallest area you take the smallest possibilities knowing that only the opposite sides should have the same length and not all of them, so you do 1 x 2 and you find 2 m2.

8 0
3 years ago
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