kaithebest5 kaithebest5
  • 16-06-2020
  • Mathematics
contestada

What is the x-intercept of the line whose equation is x/3 + y/2 = 1

Respuesta :

jimrgrant1 jimrgrant1
  • 16-06-2020

Answer:

y- intercept = 2

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

[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1

Multiply through by 6 to clear the fractions

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope- intercept form

with y- intercept c = 2

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