Asked by sue
If the slope of a line is 5/3 and a point on the line is (57,12) using the given point and the slope find the coordinates of the lattice point on the line?
Answers
Answered by
Bosnian
The "point-slope" form of the equation of a straight line is:
y - y1 = m ( x - x1 )
(x1, y1) is a known point
m is the slope of the line
(x, y) is any other point on the line
In this case:
m = 5 / 3 , x1 = 57 , y1 = 12
y - 12 = ( 5 / 3 ) (x - 57 )
y = (5 x / 3 ) - ( 5 * 57 / 3 ) + 12
y = (5 x / 3 ) - ( 285 / 3 ) + 12
y = (5 x / 3 ) - 95 + 12
y = (5 x / 3 ) - 83
y - y1 = m ( x - x1 )
(x1, y1) is a known point
m is the slope of the line
(x, y) is any other point on the line
In this case:
m = 5 / 3 , x1 = 57 , y1 = 12
y - 12 = ( 5 / 3 ) (x - 57 )
y = (5 x / 3 ) - ( 5 * 57 / 3 ) + 12
y = (5 x / 3 ) - ( 285 / 3 ) + 12
y = (5 x / 3 ) - 95 + 12
y = (5 x / 3 ) - 83
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.