The equation y=2x+8 represents a linear relationship between the variables x and y.
It indicates that y changes at a constant rate of 2 for every unit change in x. This type of relationship is often represented by a straight line when plotted on a coordinate plane.
The given equation can be rearranged to slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the equation is already in slope-intercept form, with a slope of 2 and a y-intercept of 8.
This means that for every 1 unit increase in x, the value of y increases by 2 units. The y-intercept, which is 8, represents the value of y when x is 0. In other words, the line intersects the y-axis at the point (0, 8).
To graph this relationship, you can plot two points on the coordinate plane and connect them with a straight line. For example, the points (0, 8) and (1, 10) satisfy the equation, as do the points (2, 12) and (3, 14). Connecting these points or any other valid points will result in a straight line representing the relationship between x and y.