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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)
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[tex]\\ \rm\Rrightarrow y=1/4x-3[/tex]
- Slope=m=1/3
- y intercept=b=-3
Graoh attached
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