Question

what is the point-slope form equation for the line that passes through the point (-2,1) and has a slope of -3

Answer 1

\[\huge\rm y-y_1 = m (x-x_1)\]
point slope form where
m is slope
x_1 and y _1 is the order pair (-2,1)

Answer 2

what would be the answer with the numbers put in to the formula.

Answer 3

replace variable by their values
for example
m = -3
so \[\huge\rm y-y_1 = -3(x-x_1)\]

now replace x_1 and y_1 by their values

Answer 4

Can you please just put the numbers into the formula so I can understand better.

Answer 5

for example if order pair is (4 , -5)
i will plug in
x_1 = 4
y_1 = -5
\[\huge\rm y-(\color{reD}{-5}) = -3(x-\color{red}{4})\]

then i have to distribute
negative 1 by negative 5
so final answer would be
\[\huge\rm y+\color{reD}{5} = -3(x-\color{red}{4})\]
y+5 negative times negative = positive

Answer 6

now its ur turn