The graph of y-3=1/2(x+3) is a straight line with the following characteristics:
Slope is 1/2
Y-intercept is 4.5
Direction is slanting upwards from left to right
X-intercepts is (-9, 0)
Slope, in the context of a linear equation, represents the rate of vertical change with respect to horizontal change.
It determines the steepness of a line. The y-intercept is the point where a line intersects the y-axis, denoted as (0, b) in the form y = mx + b. It indicates the initial value of the dependent variable when the independent variable is zero.
The x-intercept is where a line crosses the x-axis, denoted as (a, 0), representing the point where the dependent variable becomes zero.