lukasJ1980
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Given the following system of equations and their graph below, what can be determined about the slopes and y-intercepts of the system of equations?

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Given the following system of equations and their graph below what can be determined about the slopes and yintercepts of the system of equations class=

Respuesta :

SaniShahbaz

Step-by-step explanation:

As we know that the slope-intercept form of a linear equation is

[tex]y=mx+b[/tex]

Here:

  • m is the slope, and
  • b is the y-intercept

Given the system of equations

[tex]5x+2y=2[/tex]

[tex]3x-3y=18[/tex]

Writing [tex]5x+2y=2[/tex] in slop-intercept form

[tex]5x+2y=2[/tex]

[tex]y=-\frac{5}{2}x+1[/tex]

here

  • The slope of the equation  [tex]=-\frac{5}{2}[/tex]
  • y-intercept [tex]= 1[/tex]

Writing [tex]3x-3y=18[/tex] in slop-intercept form

[tex]3x-3y=18[/tex]

[tex]y=x-6[/tex]

here

  • The slope of the equation [tex]= 1[/tex]
  • y-intercept [tex]= -6[/tex]

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