Respuesta :

the point-slope formula is y - (y1) = m (x - (x1)) 
So your answer is y - 2 = 6 (x - 1)     

Answer:   The required point-slope form of the given line is [tex]y-2=6(x-1).[/tex]

Step-by-step explanation:  We are given to find the point-slope form of a line with slope 6 that contains the point (1, 2).

We know that

the equation of a straight line in point - slope form with slope m and passing through the point (a, b) is given by

[tex]y-b=m(x-a).[/tex]

For the given line, we have

slope, m = 6   and the point, (a, b) = (1, 2).

Therefore, the point-slope form of the given line will be

[tex]y-b=m(x-a)\\\\\Rightarrow y-2=6(x-1).[/tex]

Thus, the required point-slope form of the given line is [tex]y-2=6(x-1).[/tex]

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