HELP ITS ABOUT POINTS AND EQUATIONS AND WHAT THE PERSON FAILED IN DOING EXPLANATION NEEDED PLEASE

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

y = 0.5x - 6

Step-by-step explanation:

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

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

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )