Answer: If the given slope is –6/5, the equation is
y –2 = –6/5(x -5)
The attachment shows the graph of this equation.
The point-slope form is y = –6x/5 + 8
Step-by-step explanation: The basic form for a point-slope equation is
y - b = m(x - a)
a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.
The slope, m, is given: -6/5 Substitute for m
Given coordinate points (5,2) substitute the x-value in place of a and the y-value in place of b
Rewrite the equation:
y - b = m(x - a) becomes
y - 2 = –6/5(x - 5)
