What is the equation of the line that goes through $(0, 7)$ and $(1,9)$ in point-slope form?

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Answer 1 · 2016-10-31T18:25:41

The line's equation is: $y - 7 = 2 x$ or $y = 2 x + 7$ .

The expression of line's equation in point-slope form is:

$y - y_0 = m (x - x_0)$

or:

$y = m (x - x_0) + y_0$ ,

where the slope $m$ can be obtained from:

$m = {Delta y}/{Delta x} = {y_1 - y_0}/{x_1 - x_0}$ .

Using the points:

$(x_1, y_1) = (1, 9)$ and $(x_0, y_0) = (0, 7)$ ,

we obtain:

$m = {9 - 7}/{1 - 0} = 2$

and then:

$y = m (x - x_0) + y_0 " " rArr " " y = 2 (x - 0) + 7 " " rArr$

$rArr " " y = 2 x + 7$

What is the equation of the line that goes through (0, 7)(0, 7) and (1,9)(1,9) in point-slope form?