Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]

Respuesta :

Answer:

  • m = [C. 0.5]
  • b = [A. 3]

Step-by-step explanation:

Slope- intercept form:

  • y = mx + b, where m is the slope, b is the y-intercept

Given points:

  • (2, 4) and (-4, 1)

The slope is:

  • m = (1 - 4)/(- 4 - 2) = - 3/ - 6 = 1/2 = 0.5

Use point (2, 4) to find the value of the y-intercept:

  • y = mx + b
  • 4 = 0.5*2 + b
  • b = 4 - 1
  • b = 3