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Allisa [31]
3 years ago
7

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop

e-intercept form of the equation for this line?
Mathematics
1 answer:
Elenna [48]3 years ago
8 0
The slope-intercept formula can be written as follows:

y = mx + b

The variable "m" represents the slope of the line, while "b" represents the y-intercept. We'll start with the y-intercept.

We know that the y-intercept can be defined as the value of "y" when "x" is equal to zero. To do this, we will need to find point (0,y). The original problem gives us two points, one of which is (0,2). Because "x" is equal to zero, we know that the y-intercept is 2. Substitute this value into the slope-intercept formula:

y = mx + 2

Now we need to find the slope. Slope can be defined as the "rise" of the line over the "run" of the line. In other words, calculate the change in y-value over the change in x-value. To do this, we will use the "x" and "y" values of the two points given in the problem.

Starting with the y-values (rise), we have 2 and 4. The difference between these two values is 2. Moving on to the x-values (run), we have 0 and 8. The difference between these two values is 8. Now put rise over run and substitute this value into the slope-intercept formula:

y = (2/8)x + 2

Now simplify the right side of the equation:

y = (1/4)x + 2

We now have a complete slope-intercept formula of the line.

I hope this helps!
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Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

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3 years ago
What is the answer to 23,450 to the nearest thousands
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Step-by-step explanation:

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2 years ago
What is the slope-intercept form of the equation of the line with the slope of -5/8 that passes through the point (-14,6)
inessss [21]

Step-by-step explanation:

y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)

slope = m = -5/8

x1 = -14

y1 = 6

y-6 = -5/8 (x--14)

y-6 = -5/8 (x+14)

y-6 = -5/8x-70/8

y-48/8= -5/8x-70/8

y = -5/8x - 22/8

When x = 0, y = -22/8, which makes (0, -22/8) your y intercept

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3 years ago
8-2b=-2(b=-3;b=0;b=5)
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3 years ago
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if the kinetic energy of an aeroplane moving at a velocity of 100m/s is 200j ,what is the mass of the aeroplane
Black_prince [1.1K]

Answer:

<u>0.04kg</u>

Step-by-step explanation:

Kinetic energy Formula: eK=0.5×m×v²

to work out mass

we can rearrange the formula and make it:

~m=eK÷(0.5×v²)

now insert the missing digits into the formula:

m=200÷(0.5×100²)

work it out, and you get your answer

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Hopefully this helped-have a good day)

8 0
2 years ago
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