use the point slope equation to identify the slope and the coordinates of a point
on the line y - 4= (x - 1)

[1, 4]; 1 = m

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so in this case, the coordinates are [1, 4]. Now, the rate of change [slope] is 1 because an invisible coefficient is always assumed to be 1.

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The slope of the line is 1 and it passes through the point (1,4).

Step-by-step explanation:

If a line passes through a points with slope m, then the point slope form of the line is

           .... (1)

The given equation of line is

               .... (2)

We need to find the slope and the coordinates of a point on the given line.

On comparing (1) and (2) we get

Therefore, the slope of the line is 1 and it passes through the point (1,4).

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