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Kay [80]
2 years ago
10

write the equaion of a line in slope-intercept form if the slope is 1/5 and the y-intercept is -9 explain please

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

Answer:

y = \frac{1}{5} x - 9

Step-by-step explanation:

The slope-intercept form is y = mx + b, where:

m = slope

b = y-intercept.

The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope = \frac{rise}{run}.  So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).

Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).

Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:

y = \frac{1}{5} x - 9

(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).  

Please mark my answers as the Brainliest if you find my explanations helpful :)

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Answer:

64.1

Step-by-step explanation:

You use Pythagorean theorem which is x^2 +y^2=z^2 (^ this means to the power of) so you would get 55^2+33^2=z^2. solving this would get you z=64.1404708433 or 64.1

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2 years ago
Image on straight line graphs- please help ASAP
MissTica
Plug in (7, 12) for x and y in the equation.

12 = 2(7) + 1
12 = 14 + 1
12 ≠ 15 

Therefore, (7, 12) is not on the straight line equation. 
6 0
3 years ago
how for is Blaine's house if you must drive 6.5 hours through the woods at an average of 45mph to get there?
omeli [17]
Six and a half hours at a speed of 45 mph. 45 mph is forty five miles per hour. since there are six full hours, multiply six (time) by speed (45) to get the distance within the six full hours, which is 270 miles. you also have an additional half hour at a 45 mph speed, so rather than going 45 miles in one hour, you for half an hour, meaning you go 22.5 miles. add these two together (270 + 22.5) to get 292.5 miles. a faster way to get to this would be to multiply 6.5 * 45. hole this helps!
3 0
3 years ago
What is a polygonomial
Nadya [2.5K]

Answer:

See below

Step-by-step explanation:

Polynomials are sums of terms in the form of k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x²+2x-5 is a polynomial.

3 0
2 years ago
Plz solve it is ergent <br>​
soldier1979 [14.2K]

Answer:

first term = 2 ...(given)

second term = f (2) = f (2-1) * 5 = 1 * 5 = 5. .....[according to the formula f(n) = f (n -1) *5 ]

third term = f (3) = f ( 3 - 1 ) * 5 = 2 * 5 = 10

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fivth term = f (5) = f ( 5 - 1) * 5 = 4* 5. =20

7 0
2 years ago
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