Please help thanks so much

Mathematics

1 answer:

Goshia [24]4 years ago

6 0

Answer:

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

Step-by-step explanation:

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

In the above equation, a 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 a = -4/3

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

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:

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

=> -5 = (-4/3)*9 + b

=> -5 = -12 + b

=> b = 7

So that the equation in point-slope form of the given line is:

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

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