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Dmitry_Shevchenko [17]
2 years ago
10

A line has a slope of negative 2/3 and passes through the point (-3, 8 ) what is the equation of the line

Mathematics
2 answers:
Keith_Richards [23]2 years ago
8 0

So you are given point (3, -4) and slope 2. y=mx+b is the basic equation for linear graphs, and in this equation, b is the y-intercept, m is the slope, and y and x are where you can substitute your points.

BartSMP [9]2 years ago
3 0

Answer:

Y= -⅔x +6

(1st option)

Step-by-step explanation:

y=mx +c

m is the gradient

c is the y-intercept

Given that the slope is -⅔, m= -⅔.

Substitute m= -⅔ into the equation:

y= -⅔x +c

To find the value of c, substitute a pair of coordinates.

When x= -3, y= 8,

8 =  -  \frac{2}{3} ( - 3) + c \\ 8 = 2 + c \\ c = 8 - 2 \\ c = 6

Thus, the equation of the line is y= -⅔ +6.

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