The equation y = ½x – 4 defines a straight line graph.At what point will the graph pass through the x-axis? what are the coordinates of the intersection with the x-axis
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Answer:Step-by-step explanation:The x-axis refers to the horizontal line that goes from left to right on a coordinate plane, AKA y=0.
- Set y=0 for the equation y = ½x – 4
- 0 = ½x – 4
- Bring over the negative 4 from the right side to the left by adding 4 to each side
- 4 = ½x
- Multiply both side by 2 to get rid of the ½ (Remember, we want x by itself)
- 8 = x
- Plug your new acquired x value (x = 8) to the original function ( y = ½x – 4)
- y = ½(8) – 4
- y = 4-4
- y = 0
- You’re coordinate on where the line intersects the x-axis should be (8,0)