To write an equation in point-slope form for a given line, we need to know the slope of the line and the coordinates of a point on the line.
Given points: (5,4) and (-2,5)
To find the slope of the line, we can use the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
In this case, the change in y-coordinates is 5-4 = 1, and the change in x-coordinates is -2-5 = -7.
So, the slope of the line is:
slope = 1/(-7)
Now, let's use the point-slope form:
y - y1 = m(x - x1)
Where (x1,y1) is any point on the line, and m is the slope of the line.
Let's choose the point (5,4) as (x1,y1).
Plugging in the values, we get:
y - 4 = (1/(-7))(x - 5)
Simplifying the right side:
y - 4 = (-1/7)(x - 5)
Thus, the equation in point-slope form for the given line is:
y - 4 = (-1/7)(x - 5)
On a graph the two point are (5,4) and (-2,5)
Write an equation in point-slope for for the given line
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