Answer:
k = -5
Step-by-step explanation:
The variable is k
9k + 1 = -9 + 7k
-7k -1
2k = -10
2k/2 -10/2
k = -5
:)
2 · 7.5 + 2 · 11 = 15 + 22 = 37
Rate of change=<span><span>change in y divided by </span><span>change in <span>x
y= 3,6,9
x= 1,2,3
The numbers chosen above are because if mike travels 3 miles in one hours then he can travel 6 miles in two hours and 9 miles in 3 hours.
Change in y = 3
Change in x = 1
3 / 1 = 3
So, the rate of change is 3.</span></span></span>
Answer:
<em>y = (-4/3)*x + 7</em>
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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>
<em>=> -5 = (-4/3)*9 + b </em>
<em>=> -5 = -12 + b </em>
<em>=> b = 7</em>
<em />
So that the equation in point-slope form of the given line is:
<em>y = (-4/3)*x + 7</em>
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I think its sides ae congruent and sides are congruent