The last equation h(x) = 2x+4/x+1.
<h3>What is a graph?</h3>The pictorial representation of quantities and how the increase or decrease in one affects the other.
Analysis:
The graph cuts the x-axis and y-axis at (-2, 0) and(0, -4) respectively.
gradient of the curve = y2 - y1/x2 - x1 = -4-0/0--2 = -4/2 = -2.
The equation with a gradient equal to -2 is, h(x) = 2x+4/x+1
differentiating the equation by quotient rule,
u = 2x+4, du/dx = 2, v = x+1 dv/dx = 1
dy/dx = =
When x = -2, dy/dx = -2
In conclusion, 2x+4/x+1 is the equation for the curve above.
Learn more about parabolic curves: brainly.com/question/12896871
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Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points and
is :
Putting all given values, we get :
Therefore, the equation of line is y - x = 6 .