Question

Write in point slope form an equation of the line through the pair of points.

(9,8) and (6,1)
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What is an equation of the line in point-slope form? Show your work.
A.) y - 8 = -7/3(x - 9)
B.) x - 8 = 7/3(y - 9)
C.) y = -7/3x - 13
D.) y - 8 = 7/3(x-9)

Answer 1

d) y - 8 = 7/3(x - 9)

Step-by-step explanation:

`\sf point-slope\:form :`

`\sf y - y_1 = m(x - x_1) \ \ where \ (x_1, y_1), \ (x_2, y_2) \ are \ points \ and \ m \ the \ slope`

Find the slope:

`\sf slope: (y_2 - y_1)/(x_2- x_1) \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

`\sf \rightarrow slope\ (m) : (1-8)/(6-9) = (-7)/(-3) = (7)/(3)`

Find the equation:

in point slope form:

`\sf y - 8 = (7)/(3) (x - 9)`

`\sf y = (7)/(3) x - 21+8`

in slope intercept form

`\sf y = (7)/(3) x -13`