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11Alexandr11 [23.1K]
3 years ago
12

Express in Slope-Intercept Form

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
7 0

Answer:

y = (3/4)x + 2

Step-by-step explanation:

Slope-intercept form is y=mx+b where (x, y) is a point on the linear graph, m is the slope (rise/run), and b is the y-intercept (the y-value at which the graph passes through the y-axis).

Looking at the graph, we can see that the point at which the line crosses the y-axis is (0, 2) which makes it the y-intercept. Thus, the b in the slope-intercept form is 2.

Next, we are looking for the slope of the line. To do this, we can calculate the rise/run of the line by choosing to points on it. Since we already have the point (0, 2), we just need one more.

For example, the point (-4, -1) can be used. The slope can be found by ((y-y)/(x-x)) in which the first y and x values correspond with the first point and that of the second correspond with the second set. So in this case, m = (2-(-1))/(0-(-4)) = 3/4

Plugging in the calculated m and b value in the slope intercept equation, we get y = (3/4)x + 2

PtichkaEL [24]3 years ago
4 0

Answer:

y = 3/4x + 2

Step-by-step explanation:

We only need to find two components,

m and b (slope and y intercept)

Let's find b first because it is easy.

From the line, it passes the y axis through point (0,2) or 2

So b = 2

y = __x + 2

Slope:

Find any two points from the line. (Must be a clear coordinate)

I'll pick,

(-4,-1) and (0,2)

Slope formula:

m = y₂ - y₁ / x₂ - x₁

m = 2 -(-1) / 0 -(-4)

m = 2 + 1 / 0 + 4

m = 3/4

Now that we have the slope, we have completed the slope-intercept form.

y = 3/4x + 2

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vazorg [7]
179 / 9 is about 20 
exact = 19.888888
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3 years ago
the diameter of a cylindrical construction pipe is 4 ft. if the pipe is 19 ft long, what s it’s volume?
STALIN [3.7K]

Answer:

76\pi or 238.76 units^{3}

Step-by-step explanation:

The volume of a cylinder is V = \pi r^{2} h

Here the radius is  r = \frac{1}{2} d = \frac{1}{2}(4)=2

The height is given as 19 ft

Then plug in all the numbers into the equation

V = \pi (2^{2})(19) = 76\pi = 238.76 units^{3}

4 0
2 years ago
Determine the sum of the first twenty five terms of the sequence whose first five terms are 5,14,23,32 and 41
Alika [10]

Answer:

Step-by-step explanation:

This is an arithmetic sequence. Each term is 9 more than the preceding term.

The 25th term is 5+24*9 = 1085.

Sum of first 25 terms is 25(5+1085)/2 = 13625

5 0
2 years ago
Find the solution of this system of equations.
Vilka [71]
The answer is (2,0)

Explanation

So I’m gonna use substitution to help me solve this problem. I’m gonna solve for x.

X-y=2

+y. +y

X= y + 2

Now that we have solved for x we are going to plug it into the first equation!
Shown like this


Y+2 - 10y = 2

Then we solve it as a normal problem

So first we combine light terms

-9y+2=2

Then we isolate the variable

-9y+2=2
-2. -2

-9y = 0

Then we divide by -9 on both sides

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Now that we solved for y we plug it into one the equations to get the x value!

X - 0 = 2
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The solution is (2,0)

I hope this helped you! Pls mark as brainliest

6 0
3 years ago
The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1 : 8 . If the dimensions of
Lubov Fominskaja [6]

Answer: 204 square inches

Step-by-step explanation: I’m not really sure, but if you follow through with the normal area identifying method; Length x Width, you should come up with 25.5. After doing this, you could multiply your product by 8 because your actual mirror size is 8 times greater. You will come up with 204 square inches, which would be your final solution. (Once again, I am not sure, just doing how I’ve been understanding from studies).

8 0
2 years ago
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