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A line through (1,2) with a slope of 1/2

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2 Answers

use the point-slope formula:  y - y1 = m ( x - x1)     slope = m = 1/2     point ( x1, y1)= ( 1, 2 )

                                                                                                        x1 = 1 ,  y1 = 2

Substituting,  y - y1 = m ( x - x1 )

                    y - 2 = 1/2 ( x - 1)

                    y - 2 = (1/2)x - 1/2

 Adding 2 to both sides, y - 2 + 2 = (1/2)x - 1/2 + 2

                                             y = (1/2)x - (1/2) + (4/2)

                                             y = (1/2)x + 3/2 

 

Hello Jen,

Use the point-slope formula y - y1 = m(x - x1)

Here, x1 = 1 , y1 = 2 and m = 1/2

So, after substituting you'll get

y - 2 = (1/2) (x - 1)

y - 2 = (1/2)x - (1/2)       (distribute 1/2)

Add 2 on both sides of the equation

y - 2 = (1/2)x - (1/2)

  +2               + 2

_____________________

y = (1/2)x + (3/2)           answer

Good luck for your finals.