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Answer:
y = 6x + 46
Step-by-step explanation:
The equation of a line in Cartesian plane is: y = mx + c
Here, x and y are the coordinates w.r.t. X- and Y-axis respectively, m is the slope of the line mentioned in the question, and c is the constant.
A point in a Cartesian plane is represented as (x, y).
So, (x, y) = (-7, 4) => x = -7 and y = 4
Slope, m = 6 (as given in the question).
So, the constant c can be calculated as: c = y - mx = 4 - [6 x (-7)] = 4 + 42
=> c = 46
Therefore, the point-slope form of the line will be: y = 6x + 46