Question

X. Y

Answer 1

Answer:

Slope:  5

Y-intercept:  0

Equation:  y=5x

Step-by-step explanation:

Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Slope is defined as the "Rise/Run" of the line.  The change in y(the rise) for a change in x(the run).  This can be calculated by taking any two of the given data points.  I'll pick (1,5) and (5,25):

Rise = (25 - 5) = 20

Run = (5 - 1) = 4

The Rise/Run, or slope, m, is (20/4) or 5.

The equation becomes y = 5x + b.

To find b, the y-intercept, enter any of the points into the equation and solve for b:

y = 5x + b

y = 5x + b   for (4,20)

20 = 5*(4) + b

b = 0

The line goes through the origin at x = 0 (0,0).

The equation is y = 5x + 0 or just y = 5x.

Slope:  5

Y-intercept:  0

Equation:  y=5x