Answer :
Answer: Slope = 6.000/2.000 = 3.000
x-intercept = 51/-3 = 17/-1 = -17.00000
y-intercept = 51/1 = 51.00000
Step-by-step explanation: "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-3x-51 = 0 and calculate its properties
Notice that when x = 0 the value of y is 51/1 so this line "cuts" the y axis at y=51.00000
y-intercept = 51/1 = 51.00000
When y = 0 the value of x is 17/-1 Our line therefore "cuts" the x axis at x=-17.00000
x-intercept = 51/-3 = 17/-1 = -17.00000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 51.000 and for x=2.000, the value of y is 57.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 57.000 - 51.000 = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 6.000/2.000 = 3.000
Slope = 6.000/2.000 = 3.000
x-intercept = 51/-3 = 17/-1 = -17.00000
y-intercept = 51/1 = 51.00000