Answer:
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Step-by-step explanation:
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>
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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>
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So that the equation in point-slope form of the given line is:
<em>y = (-4/3)*x + 7</em>
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Answer:
x = 1.5
Step-by-step explanation:
-1.2 (3 - x) = -1.8
<em>Apply distributive property</em>
-3.6 + 1.2x = -1.8
<em>Get 1.2x alone so add -3.6 to each side</em>
1.2x = 1.8
<em>Get x alone so divide 1.2 on each side</em>
x = 1.5
Hope this helps!
slope = (6 - 1)/(-2 - 1) = 5/-3 = -5/3
Equation
y - 6 = -5/3 (x + 2)
Hope it helps
