Respuesta :

Answer:

y = [tex]\frac{13}{18}[/tex] x + [tex]\frac{19}{18}[/tex]

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

13x - 18y = - 19 ← subtract 13x from both sides

- 18y = - 13x - 19 ← divide all terms by - 18

y = [tex]\frac{13}{18}[/tex] x + [tex]\frac{19}{18}[/tex] ← in slope- intercept form

Answer:

[tex]y = (\frac{13}{18} )x + \frac{19}{18}[/tex]

Step-by-step explanation:

slope intercept form is given by

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

so we have to make y subject of our equation

[tex]13x - 18y = -19[/tex]

[tex]13x = -19 +18y[/tex]

[tex]13x + 19 = 18y[/tex]

[tex]18y = 13x + 19[/tex]

[tex]y = (\frac{13}{18} )x + \frac{19}{18}[/tex]

this is the equation in slope intercept form now compare it with standard form

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

where slope is

[tex]m = 13/18[/tex]

y-intercept is

[tex]b = 19/18[/tex]

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