Question

Find the equation of the line that passes through points (4,5) and (-1,6).

A. y=5x+29/5
B. y= -5x - 29
C. y= 5x+29
D. y= 1/5x+29/5
Please help me.

Answer 1

First find the slope using the formula
`m= (y_(2)-y_(1))/(x_(2)-x_(1))`
Substitute the values in:

`m= (6-5)/(-1-4)= -(1)/(5)`
Point-slope form is
`y=m(x-x_(1))+y_(1)`
Substitute (it doesn't matter which point you choose; I chose (4,5):

`y=- (1)/(5) (x-4)+5=-(1)/(5)x+(29)/(5)`
Therefore, the answer is D.
`y=-(1)/(5)x+(29)/(5)`