whats point slope form?

Question

Write an equation in point-slope form of the line that passes through the given point and has the given slope.

m = –3

point = (3, –1)

Answer 1

Point slope form of a line is when you are not given the equation of the line but you are given a point on the line and the slope of the line.

 

Given your question above the point is (3, -1) and you slope m is -3.

 

plug it in the equation below:

y - y1 = m(x - x1)

 

y - (-1) = -3(x - 3) (Answer: point-slope form)

 

y + 1 = -3x + 9

 

y = -3x + 9 -1

 

y = -3x + 8 (Answer: slope-intercept form)

 

 

Answer 2

The answer is:

 

y - (-1) = -3(x - 3)

 

y + 1 = -3(x - 3)