Write an equation in point-slope form for the line through the given point with the given slope. ( 4, - 6 ); m = 3/5 y - 4 + 3/5 ( x + 6 ) y + 6 = 3/5 x - 4 y + 6 = 3/5 ( x - 4 ) y - 6 = 3/5 ( x + 4 )

y+6 = 3/5 (x-4)

Step-by-step explanation:

from the queation, m= 3/5 x1 =4 y1=-6

from the equation of a straight line

y - y1 = m ( x - x1)

y - (-6) = 3/5 (x-4)

y+6 = 3/5 (x-4)

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: