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which graph represents the linear function y=1/4x-3

90 points pls help


Sagot :

Answer:

Straight line graph with positive gradient (slope)

y-intercept: (0, -3)

x-intercept: (12, 0)

Step-by-step explanation:

[tex]y=\dfrac14x-3[/tex]  is a linear function

The line intercepts the y-axis when x = 0:

[tex]y=\dfrac14(0)-3=-3[/tex]

Therefore, the y-intercept is (0, -3)

The line intercepts the x-axis when y = 0:

[tex]\implies \dfrac14x-3=0\\\\\implies \dfrac14x=3\\\\\implies x=12[/tex]

Therefore, the x-intercept is (12, 0)

View image semsee45

[tex]\\ \rm\Rrightarrow y=1/4x-3[/tex]

  • Slope=m=1/3
  • y intercept=b=-3

Graoh attached

View image Аноним