The graph will be in quadrant 3 and The graph will be straight line.
Given that,
The function is p(x)=-6x.
We have to find the graph of the linear function p(x)=-6x.
Comparing the above equation with the general equation for a straight line, y = mx + c, we have;
Here, slope is m = 4, and the y-intercept is c = 0
The graph can therefore be created by drawing a straight line through the origin that is inclined to the horizontal axis such that the ratio of a point's vertical distance from the x-axis to their distance from the y-axis is -6 to 1.
However, we build a table of values using Microsoft Excel as follows to graph the provided function in a way that makes the values of the x and y coordinates of the points on the line representing the graph's equation obvious;
x p(x)
0 0
1 -6
2 -12
3 -18
4 -24
5 -30
6 -36
7 -42
8 -48
9 -54
10 -60
Therefore, The graph will be in quadrant 3 and The graph will be straight line.
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