Final answer:
To write an equation of a line that intersects y = -x but is not perpendicular to it, choose a slope other than 1. An example of such a line is y = 3x + 9, which has a different slope (3) and will intersect with y = -x without being perpendicular.
Step-by-step explanation:
The graph of the line y = -x has a slope of -1. To write an equation of a line that intersects this line but is not perpendicular to it, you need to choose a slope that is not the negative reciprocal of -1, which would be 1. Therefore, any slope other than 1 will work. Using the concept of slope and the algebra of straight lines, let's choose a slope that is different from -1 and 1, for example, 3, as mentioned in the reference material. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
The reference material suggests a y-intercept (b) of 9. Thus, an equation that has a slope of 3 and intersects y = -x without being perpendicular to it would be y = 3x + 9.
It is important to know that two lines are perpendicular if the product of their slopes is -1. Since the product of the slopes -1 (of y = -x) and 3 (of y = 3x + 9) is -3, not -1, these two lines are not perpendicular and will intersect.