What is the equation of a line in slope intercept form? (-2,-3), (4,5) i need forming the equation

This form of straight line is equation through the two points

y-y1=(y2-y1) / (x2-x1) (x-x1) point 1(-2,-3) and point 2(4,5) => x1=-2, y1=-3, x2=4 and y2=5 => y-(-3)=(5-(-3))/(4-(-2)) (x-(-2)) => y+3=(5+3)/(4+2) (x+2) =>

y+3=8/6 (x+2) => y+3=4/3 (x+2) => we will multiply the both sides of the equation with number 3 and we get => 3y+9=4(x+2) => 3y+9=4x+8 =>

we will add to both sides number (-9) => 3y=4x-1 now we will divide the both sides with number 3 and we finally get  

y=(4/3) x - 1/3

Good luck!!!

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step-by-step explanation: