Answer:
Part A: The equations are:
y = -1/2x + 2, and
y = 3x - 5
Part B: The solution is (2,1)
Step-by-step explanation:
Part A: There are two equations we need to find, each line is the graph of a function.Graphs are written in y = mx + b, m is the slope, which is the change in y divided by the change in x, and b is the y - intercept. To find the function of the first graph, the one going slightly down, the slope is: y goes down by one, and x increases by 2, so change in y/ change in x is -1/2. The y - intercept is where the graph goes through the point where x is 0, on this graph, the point is (0,2), the y - intercept is 2, so y = mx + b is y = -1/2x + 2
For the other equation, slope is when y increases by 3, x increases by 1, so 3/1, or 3. The y - intercept is -5, so y = 3x + (-5), or y = 3x - 5
Part B: The solution to this equation is the point where both of the functions meet, here, this point is (2,1), y is 2 and x is 1.
