Question

Write an equation of a line in point slope form that has a slope of -3 and passes through the point (3, -4).

Show work.

Write the equation of a line in point slope form that has a slope of -3/4 and passes through the point (4, 5).
Show work.

Answer 1

1) Point-slope form

(y-y1)=m(x-x1)

m= - 3,

point (3,-4), so x1 = 3, y1 = - 4.

(y+4)= -3(x- 3)

2)Point-slope form

(y-y1)=m(x-x1)

m= - 3/4,

point (4,5), so x1 = 4, y1 = 5.

(y-5)= - 3/4(x-4)