Question

A line passes through the points (-2,-4) and (3,5). Which equation best represents a line parallel to this line?Oy=* +4Oy=-x+4Oy= -x + 4Oy= 1x + 4

Answer 1

(x1,y1)=(-2,-4)

(x2,y2)=(3,5)

let's find the slope:

`m=(5-(-4))/(3-(-2))=(9)/(5)`

Using the slope point equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-5=(9)/(5)(x-3) \\ y=(9)/(5)x-(2)/(5) \end{gathered}`

if two lines are parallel it is true that:

`\begin{gathered} m1=m2 \\ (9)/(5)=(9)/(5) \end{gathered}`

Therefore the correct answer is:

`y=(9)/(5)x+4`