Equation for the line containing (4,5) and (-2,-4)

Step-by-step explanation:

first need to find the slope

-4-5=-9

-2-4=-6

=3/2

y-5=3/2(x-4) this is your point slope equation

y-5=3/2x-6

y=3/2x-1 this is your slope intercept equation

-3/2x+y=-1

muliply by -2

3x-2y=2 this is your equation in standard form

2y - 3x = -2

Step-by-step explanation:

The equation of line in two point form is given as :

=

from the question,

= 4

= -2

= 5

= - 4

substituting into the formula , we have

=

=

=

cross multiplying , we have

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

2y - 10 = 3x - 12

2y - 3x = -12 +10

2y - 3x = -2