(06.02) Which system of equations is represented by the graph? (2 points)

a.
[tex]y = \frac{x + 4}{x+ 2} [/tex]
[tex]y = x + 4[/tex]
b.
[tex]y = \frac{x + 4}{x + 2 } [/tex]
[tex]y = x - 4[/tex]
c.
[tex]y = \frac{x - 4}{x + 2} [/tex]
[tex]y = x + 4[/tex]
d.
[tex]y = \frac{x - 4}{x + 2} [/tex]
[tex]y = x - 4[/tex]



0602 Which system of equations is represented by the graph 2 points a texy fracx 4x 2 textexy x 4texb texy fracx 4x 2 textexy x 4texc texy fracx 4x 2 textexy x class=

Respuesta :

The red line has a y-intercept of -4, so the linear equations of choices A and C can be eliminated.

The numerator of the rational expression of choice B will not be zero when x=4, so that choice can be eliminated. (That is, check to see if the point (4, 0) satisfies the equation. It does not.)

The problem requirements are met by the last choice:

d y = x minus 4, over x plus 2

y = x − 4.      your'e welcome :)