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Answer:
The equation of line is y = 3 x - 1 , i.e option A .
The rate of change = m = 3
Step-by-step explanation:
Given as :
The points are
(,
) = (- 2, -7)
(,
) = (1 , 2)
Let The slope = m
<u>Now, The slope is calculated in points form</u>
So, Slope =
I.e m =
or, m =
I.e m = 3
So, The slope of points = m = 3
I,e Rate of change = m = 3
<u>Now, the equation of line in slope - point form can be written as</u>
y - = m ( x -
)
where m is the slope of line
i.e y - (-7) = ( 3 ) × ( x - (-2) )
or, y + 7 = 3 × (x + 2)
∴ y + 7 = 3 x + 6
Or, y = 3 x + 6 - 7
Or, y = 3 x - 1
So, The equation of line is y = 3 x - 1
Hence, The equation of line is y = 3 x - 1 , i.e option A .
And The rate of change = m = 3 Answer