
David W. answered 10/17/15
Tutor
4.7
(90)
Experienced Prof
This question mentions some very basic terms that are covered in beginning algebra.
The slope of a line is the "rise over run" -- the amount the y-values increase divided by the amount the x-values increase;
it is calculated as m = (y2 - y1) / (x2 - x1)
The slope is represented by m because the slope-intercept form of the equation of a line is:
y = mx + b
The y-intercept of the line (indicated by the value of b) is the place where the line crosses the y-axis (with a value of x=0).
Now, for this problem. The slope m=1. The y-intercept is at the point (0,0), which is the origin.
The slope-intercept form of the equation for this line is:
y = 1x + 0
y = x