write the equation for the line described Give answers in st

write the equation for the line described. Give answers in standard form. through (5,1), undefined slope

Solution

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Let the slope of line be m

Now general equation of aa line in slope intercept form is given by

y = mx + c

Now since the line passes through (5,1) , Hence it should satisfy the equation of line

Substituting x = 5 and y =1

1 = 5m + c

=> c = 1 - 5m

Hence the general equation of line in terms of slope m becomes

y = mx + 1 - 5m

i.e. y = (x - 5)m + 1

Solution