Question

Use the point slope equation to identify the slope and the coordinates of a point

on the line y - 4= (x - 1)

Answer 1

[1, 4]; 1 = m

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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Answer 2

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

Explanation:

If a line passes through a points
`(x_1,y_1)` with slope m, then the point slope form of the line is

`y-y_1=m(x-x_1)` .... (1)

The given equation of line is

`y-4=(x-1)` .... (2)

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

On comparing (1) and (2) we get

`m=1`

`x_1=1`

`y_1=4`

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