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lisabon 2012 [21]
3 years ago
9

You know the slope of a line and a point on the line that is not the y-intercept. Can you use a graph to write the equation of t

he line in slope-intercept form? Explain.
Mathematics
1 answer:
Gnoma [55]3 years ago
6 0
Sure you could as long as you have the point.

for example let's say the slope is 2 and the point we are given is (4,4)

we know that:
y = mx + b
plug in the values given
x=4
y=4
m=2

4 = 2(4) + b
b, the y intercept equals -4.

so:

y = 2x - 4
in this case
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Ryan planted flowers in a rectangular garden. The width of the garden is left parenthesis x minus 5 right parenthesis(x−5) feet
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- The equation :

Area = length x width

- Substitute the values in :

Area = (x - 5)(x - 5 + 22)

(Note : the 'x' is for the algebraic expression x in the example above)

- Now you have to simplify the second parenthesis:

Area = (x - 5)(x + 17)

- Now expand :

Area = x^2 + 17x - 5x - 85

- Simplify by collecting like terms :

Area = x^2 + 12x - 85

(Note : x^2 means x squared)

Now you have your answer as:

x^2 + 12x - 85 feet^2

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3 0
3 years ago
Jan needed to empty 18 gallons of water from a tub into jugs that hold 0.5 gallons of water. How many jugs did Jan need?
Ilia_Sergeevich [38]
So you would do,
18 gallons of water divided by 0.5 gallons of water 
if you did that correctly you should have gotten... 36 jugs
8 0
3 years ago
Graph y=6x−7<br> Identify the x-intercept.
valina [46]

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

6 0
3 years ago
What are the coordinates of point F?
sashaice [31]
D, its (x,y) and (8.2,5.7) are the only ones that match up
5 0
3 years ago
To graph ( 0, 15 ) what is the only direction you will move
Dominik [7]

Answer:

you will only move 15 units up

Step-by-step explanation:

since the y is the only one that has a value, then you will have to focus more on the direction where the y will go. and since the y's value is positive then you will have to go upwards.

3 0
3 years ago
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