PERSEVERE Write an equation in point-slope form for the line that passes through the points (f, g) and (h, j).
Answers
Answer:
m = (j-g) /(h-f)
Step-by-step explanation:
m = gradient or the slope
( f, g) = to the first point ( h, j) = to the second point *(X,Y)
the formula is
m= ( 2nd Y - 1st Y) / ( 2nd X - 1st X)
Therefore the equation of this slope is
m= (j-g) / (h-f)
Answer: The equation in point-slope form of the line be,
(y - g)/(x - f) = (g - j)/(f - h)
Given, a line passes through the points (f , g) and (h , j)
An equation in point-slope form for the line through the given points is to be found.
As, the point-slope form,
equation of a line is (y - y1)/(x - x1) = m
where, m is the slope of the line and (x1 , y1) is the given point.
Now, the slope of the line be,
m = (g - j)/(f - h)
On substituting the values,
(y - y1)/(x - x1) = (g - j)/(f - h)
(y - g)/(x - f) = (g - j)/(f - h)
The equation in point-slope form of the line be,
(y - g)/(x - f) = (g - j)/(f - h)
To conclude in one sentence, the equation in point-slope form of the line be,
(y - g)/(x - f) = (g - j)/(f - h)
To learn more about Straight Lines click the link below,
https://brainly.in/question/25048297
To learn more about Slope-Point form click the link below,
https://brainly.in/question/44624042
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