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lara [203]
3 years ago
12

The graph shows a scuba divers ascent over time? There’s 3 questions on the picture!

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

a) 1/8

b) -10 m

c) y = x/8-10

Step-by-step explanation:

a) The slope of the line

We start by selecting two points on the graph

These are;

(0,-10) and (80,0)

The slope ;

m = y2-y1/x2-x1

m = (0+10)/(80-0) = 10/80 = 1/8

b) The y-intercept

This is where the graph crosses the y-axis

The point is (0,-10)

c) The equation

The equation is generally written as;

y = mx + c

where m is slope and c is y-intercept

Thus;

y = 1/8x -10

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Answer:

<em>y = (-4/3)*x + 7</em>

<em />

Step-by-step explanation:

The point-slope form of the equation of a line is: <em>y = a*x + b </em>

In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that <em>a = -4/3 </em>

=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>

<em />

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

<em>y = (-4/3)*x + b</em>

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<em />

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