megan1066 megan1066
  • 22-09-2020
  • Mathematics
contestada


If the line px -5y = 60 has a slope of -23 then p equals ....

Respuesta :

jimrgrant1 jimrgrant1
  • 22-09-2020

Answer:

p = - 115

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

px - 5y = 60 ( subtract px from both sides )

- 5y = - px + 60 ( divide all terms by - 5 )

y = [tex]\frac{1}{5}[/tex] px - 12 ← in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex] p , thus

[tex]\frac{1}{5}[/tex] p = - 23 ( multiply both sides by 5 to clear the fraction )

p = - 115

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