3 Write the equations of the lines using the given informati

3) Write the equations of the lines using the given information. Write the equations in slope intercept form.

a) with slope m = -4 and passing through (-3,2)

b) passing through (-1,3) and (-3,4)

slope intercept form of equation : y = mx +c

a) m = -4 ; find c using point (-3,2)

y = -4x +c ; Plug (-3, 2)

2 = -4*(-3) +c

2 - 12 = c

c= -10

y = -4x -10

b) (-1, 3) and (-3, 4)

slope = ( 4 -3)/( -3 - (-1))

= 1/-2 = -1/2

y = -x/2 +c

3 = 1/2 +c----> c= 3 -1/2 = 5/2

y = -x/2 +5/2