Respuesta :

Answer:

see below

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

  = (-5- -7.5)/ ( 2 - -3)

  = (-5+7.5) / ( 2+3)

  = 2.5 /5

   =1/2

Then using the slope intercept equation of a line

y = mx+b where m is the slope and b is the y intercept

y = 1/2x+b

Using a point from above

-5 = 1/2(2) +b

-5 =1+b

Subtract 1 from each side

-6 = b

We have the y intercept

y = 1/2x-6

Tahlia forget to find the y intercept for the equation

Answer:

y = 0.5x - 6

Step-by-step explanation:

(-3. -7.5) ; (2 , -5)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-[-7.5]}{2-[-3]}\\\\=\frac{-5+7.5}{2+3}\\\\=\frac{2.5}{5}\\\\=0.5[/tex]

m = 0.5 ; (2, -5)

equation of line :  y-y1 = m(x-x1}

y -[-5]=0.5(x - 2)

y + 5 = 0.5x - 0.5*2

y + 5 = 0.5x - 1

y = 0.5x - 1 -5

y = 0.5x - 6