Write the equation of a line in slope intercept form that passes through the points (-2, 7) and (3, 12) show work.

To find teh equation of the line we need the slope of that line and the co ordinates of the one point through which it is passing

here we are given only two points through which it is passing

this can help us to find slope .

We start with finding the slope of the line passing through x1 y1 and x2 y2

that is m= ( y2- y1) divide by ( x2-x1)

here we h ave : x1= -2 and y1 = 7 , x2= 3 and y2 = 12

slope of the line would be : ( 12- 7 ) divide by ( 3 - -2 )

slope of the line = 5 / 5 = 1

Equation of the line having slope m and passing through x1 y1 is :

we have found ,m= 1

Y= m( X- x1) + y1

Y= 1 ( X- -2 ) + 7

Y= X+2 + 7

Y= x+ 9 that is the equation of the required line

Answer : Y = x+9