genesis234lovely genesis234lovely
  • 17-02-2021
  • Mathematics
contestada

What is the equation of the line that passes through the point (8, 4) and has a slope
of 3/2?

Respuesta :

reeserl reeserl
  • 17-02-2021

Answer:

y = (3/2)x - 8    slope-intercept form

3x - 2y = 16      standard form

Step-by-step explanation:

Use the point-slope form of a line to do this problem.

[tex]y - y_{1} = m(x - x_{1} )\\[/tex]

In your case [tex](x_{1} , y_{1} ) = (8, 4)[/tex]

So. y - 4 = 3/2 ( x - 8)  

multiply thru by 2

2y - 8 = 3(x - 8)

2y - 8 = 3x - 24

2y = 3x - 16

y = (3/2)x - 8    slope-intercept form

3x - 2y = 16      standard form

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