willcoop8751 willcoop8751
  • 13-01-2020
  • Mathematics
contestada

For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?

Respuesta :

hondeashok12 hondeashok12
  • 14-01-2020

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

           (x2, y2) = (4, 87)

Using two point form to calculate slope:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{87-55}{4-2}[/tex]

      m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

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