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:

$m=\frac{5-(-4)}{3-(-2)}=\frac{9}{5}$

Using the slope point equation:

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

if two lines are parallel it is true that:

$\begin{gathered} m1=m2 \\ \frac{9}{5}=\frac{9}{5} \end{gathered}$

Therefore the correct answer is:

$y=\frac{9}{5}x+4$