Question 254967
1.what is an equation of the line that passes throught the point (4,-6) and has a slope of 3?
2. what is the slope of the line whose equation is 2y=5x+4?
3.what is the slope of the line whose equation is 3x-4y-16=0
4.Explain why (0,b)is always a point on the graph of y=mx+b

1. y = m * x + b, where m is the slope
   -6 = 3 * 4 + b
   -6 = 12 + b
   -18 = b
   y=3*x-18
2. 2*y=5*x+4
     y=(5/2)*x+2
    slope is 5/2
3. 3*x-4*y-16=0
   3*x-4*y=16
   -4*y=-3*x+16
     y=(-3/-4)*x-4
     y=(3/4)*x-4
    slope is 3/4
4. y=m*x+b
   m is the slope
   plug in (0,b)
   b=m*0+b
   b=b
  point (0,b) is defined as the y intercept , where the line crosses the y-axis