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)
