write an equation in point slope form of the line through point j(4,1) with slope -4

Answer 1

Point-slope form of a linear equation:

y − y1 = m ( x − x1 )

( x1 , y1 ) is a point the line passes through

m = slope

In this case:

x1 = 4

y1 = 1

m = - 4


y − y1 = m ( x − x1 )

y − 1 = ( - 4 ) ∙ ( x − 4 )

y − 1 = ( - 4 ) ∙ x − 4 ∙ ( − 4 )

y − 1 = - 4 x + 16