The slope-intercept form:
m - slope
b - y-intercept
We have the slope m = -3 and the y-intercept b = 1. Substitute:
It is a linear function. We need only two points to plot the graph.
Select two values of x. Put them in the line equation and calculate the values of y.
for x = 0:
for x = 1:
for the friend request.
when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.
i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.
yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.