Graph the following equation on the coordinate plane: y = 4/5 x – 2.
Plot two points to graph the line.
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Graph the following equation on the coordinate plane: y = 4/5 x – 2.
Plot two points to graph the line.
To graph the equation ( y = frac{4}{5}x – 2 ), we can start by identifying two points on the line.
1. Find two points:
– Point 1: Let ( x = 0 ) (the y-intercept).
[
y = frac{4}{5}(0) – 2 = -2.
]
So, the point is ( (0, -2) ).
– Point 2: Let ( x = 5 ) (this makes the calculations simpler).
[
y = frac{4}{5}(5) – 2 = 4 – 2 = 2.
]
So, the second point is ( (5, 2) ).
2. Plot the points:
– Plot the point ( (0, -2) ) on the y-axis.
– Plot the point ( (5, 2) ) at x = 5 and y = 2.
3. Draw the line:
– Connect the two points with a straight line, extending it in both directions.
Explanation: The slope of (frac{4}{5}) indicates that for every 5 units you move to the right (along the x-axis), you move up 4 units (along the y-axis). The y-intercept is at -2,