SOLUTION: Find the parametrized form of the line through (5, -2) and (8, 2).

Question 1133321: Find the parametrized form of the line through (5, -2) and (8, 2).
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

There are an infinite number of parameterized forms of the equation....

The slope-intercept form of the equation through the two given points is

An equivalent equation is then

From this form, we can see that any parameterized form has to be of the form

If we let t=0 correspond to the point (5,-2), then the parameterized equations are

If we let t=0 correspond to the point (8,2), then the parameterized equations are

And of course we can get other parameterized equations by letting t=0 correspond to some other point on the line through the two given points.
RELATED QUESTIONS
Find parametric equations for the line of slope 5 that passes through the point (6, 2). (answered by greenestamps)

Write the equation of the line through (5, -3) and (-2, -8) in slope-intercept... (answered by ewatrrr)

Find an equation in standard form of the line: a. through (2,-2) and (4,4) b.... (answered by Fombitz)

Find the slope-intercept form of the line through the points A (2, 2) and B ( - 7, 8). (answered by jim_thompson5910)

Find the midpoint of the line segment with endpoints (-8,4) and (-2,-6) Find the... (answered by josgarithmetic)

Find the equation of the line passing through the two points. (8, -2) and (5,... (answered by Flake)

. Find the slope of the line that passes through the points (2, 3) and (5, 8). (answered by stanbon,harecurtis)

Find the slope of the line that passes through the points (2, 3) and (5, 8). (answered by jim_thompson5910)

find the slope of the line through the given points. (2, 8) and (3,... (answered by Alan3354)