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VARVARA [1.3K]
3 years ago
13

How do you get the fully simplified slope-intercept form?​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

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Someone help me solve this please…
azamat

Answer:

x=5.5

Step-by-step explanation:

Perimeter of ABCD=85

The perimeter is everything around the outside added together.

Form an equation:

3x+4+4x+6x-11+5x-7=85

Collect the like terms:

Like terms are terms that have the same powers and coefficient.

3x+4x+6x+5x=18x

4-11-7= -14

Put it back into an equation:

18x-14=85

Do inverse operations to find out what x is:

85+14=99

18x=99

99÷18=5.5 (we divide because, in algebra, when a number is next to a letter, it means times and as we want the inverse, you would have to divide)

x=5.5

Hope this helps :)

3 0
3 years ago
Calculate cardiac output if the heart rate is 125 beats/minute, the end-diastolic volume is 130 ml, and the end-systolic volume
Anni [7]

Answer: cardiac output=11,250ml/min

Step-by-step explanation: Cardiac output = Heart rate(beats/min) × stokes volume (ml/beat)

Cardiac output = 125 ×(130 -40)

Cardiac output= 125×90 =11,250ml/min

7 0
3 years ago
The radius of a circle is 35 centimeters.
dem82 [27]

Answer:

3864.5

Step-by-step explanation:

I used 3.14 for pie, since its more common than 22/7.

To find the area of a circle: pir^2.

r=35

pi=3.14

35 times 35=1225

1225 times 3.14=3846.5

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A man walks 15 blocks to work every morning at a rate of 2 miles per hour. If there are
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