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Find a​ point-slope form for the line that satisfies the stated conditions.

Slope 6, passing through (-7,4)

Sagot :

vidhisehrawat

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

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