Solve math please.???

9514 1404 393

  a) 3

  b) 1

  c) y = 3x +1

Step-by-step explanation:

Given:

  A(1, 4), B(2, 7)

  m = (y2 -y1)/(x2 -x1)

Find:

  a) the slope of the line through these points

  b) the y-intercept of the line through these points

  c) the equation of the line through these points

Solution:

a) Using the given formula, the slope is ...

  m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line

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b) The y-intercept can be found from* ...

  b = y1 -m·x1

  b = 4 -3·1 = 1 . . . the y-intercept

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c) The equation in slope-intercept form is ...

  y = mx +b

  y = 3x +1

* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:

  y -y1 = m(x -x1)

  y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1

  b = y1 -m·x1 . . . . . . . . solve for b

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8