The correct answer is A.
We can prove this by substituting the values in ourselves.
The formula for point-slope is the following y-y1=m(x-x1).
M= slope
y1 and x1= y and x coordinates of a point.
point= (x,y)
We substitute in the values.
y-7=-13(x-5)
and we get the exact same equation from option A proving it correct.
Hope this helps!
The point-slope equation of the line with slope –13 passing through the point (5, 7) is Option (A) y - 7 = -13(x - 5)
A point-slope equation of a straight line is an equation which represents a straight line passing through the points (x1,y1).
The point-slope formula for the line is given as -
y - y1 = m(x - x1)
Where, m is the slope of the given straight line
x1 and y1 are the respective x and y coordinates of the points through which the line passes.
In the problem, slope given is -13 also the point given is (5,7) which means x1 = 5 and y1 = 7 .
Thus putting the values of problem in the point-slope formula of straight line,
y - 7 = -13(x - 5)
Therefore we yield the result of equation of the straight line in point-slope form.
To learn more about point-slope form of straight line, refer -
https://brainly.com/question/6497976
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