Question

Write the equation of the line that passes through the given points: (1, -2); (- 3,7) (Hint: use the formula m = (y_2-y_1) / (x_2-x_1), y = mx + b)a) Y= 1x-2 b) y=-3x+7 c) y= - 9/4 x+ 1/4Escriba la ecuación de la línea que pasa por los puntos dado: (1,-2) ;(-3,7) (Sugerencia: usar la formula m=(y_2-y_1)/(x_2-x_1 ) , y=mx +b) a) Y= 1x-2 b) y=-3x+7 c) y= - 9/4 x+ 1/4

Answer 1

C. y=-9/4x+1/4

Step-by-step explanation:

Given the points: (x1,y1)= (1,-2) ;(x2,y2)=(-3,7)

Substitute into the given formula:

`\begin{gathered} m=(y_(2)-y_(1))/(x_(2)-x_(1)) \\ m=(7-(-2))/(-3-1)=(9)/(-4) \\ m=-(9)/(4) \end{gathered}`

Using m=-9/4 and (x1,y1)= (1,-2):

`\begin{gathered} y=mx+b \\ -2=-(9)/(4)(1)+b \\ b=-2+(9)/(4)=(1)/(4) \end{gathered}`

Therefore, the equation of the line is:

`y=-(9)/(4)x+(1)/(4)`

The correct option is C.