To graph the equation y = -45x, we selected two points on the line by substituting arbitrary values for x and finding the corresponding y-values using the equation. The points (0, 0) and (1, -45) were plotted on the coordinate plane, and a line was drawn through these points, sloping downward. The resulting graph represents the equation y = -45x.
To graph the equation y = -45x, we can choose two points on the line and plot them on the coordinate plane.
Let's select two arbitrary values for x and find the corresponding y-values using the equation.
1. When x = 0:
y = -45(0) = 0
So one point on the line is (0, 0).
2. When x = 1:
y = -45(1) = -45
So another point on the line is (1, -45).
Now, let's plot these two points on the coordinate plane.
Start by drawing the x and y axes. Label the x-axis from left to right and the y-axis from bottom to top. Place the points (0, 0) and (1, -45) on the graph.
Since the equation y = -45x represents a line with a negative slope, the line will slope downward from left to right. Connect the two points with a straight line, extending it in both directions.
The resulting graph should show a straight line passing through the points (0, 0) and (1, -45), sloping downward.