Which graph shows this system of equations?
12
10
201
y = x+12
y = 3x+4
10
8
18
16
6
4
2
2
420
246
420
2
4
0
246
2
2
2
CLEAR
CHECK

Which graph shows this system of equations 12 10 201 y x12 y 3x4 10 8 18 16 6 4 2 2 420 246 420 2 4 0 246 2 2 2 CLEAR CHECK class=

Respuesta :

Answer:

  (c) See attached

Step-by-step explanation:

You want the graph of the equations ...

  • y = 1/3x +12
  • y = 3x +4

Y-intercept

The constant in each equation is the y-intercept, the point on the y-axis where the line crosses. That means the two lines cross the y-axis at +12 and +4. This is the case only in graph C, attached.

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Additional comment

The coefficient of x is the slope of the line. A slope of 1/3 means the line goes 3 units to the right for each 1 unit up. The line with that "shallow" slope is the one that crosses the y-axis at +12.

The second line has a slope of 3, so rises 3 units for each 1 unit to the right. That line crosses the y-axis at +4.

The intersection point of the two lines is necessarily in the first quadrant.

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