Answer:
The coordinates of the point of intersection is (2, 7)
Step-by-step explanation:
From the graph, we have the two intersecting straight lines each described as follows;
The first straight line graph from the left, we have;
y-intercept = (0, 5), x-intercept = (-5, 0) therefore, the slope, m = (0 - 5)/(-5 - 0) = 1
The equation of the graph is slope-intercept form is y - 5 = 1×(x - 0)
Which gives;
y = x + 5.........................(1)
The second lie graph has y-intercept = (0, 9), x-intercept = (9, 0) therefore, the slope, m = (0 - 9)/(9 - 0) = -1
The equation of the graph in slope-intercept form is y - 9 = -1×(x - 0)
Which gives;
y = -x + 9.......................(2)
To find the point of intersection, we equate equation (1) to equation (2), which are the y-value function of x, we have;
x + 5 = -x + 9
x + x = 9 - 5
2·x = 4
x = 4/2 = 2
x = 2
From either equation (1) or equation (2), we can find the value of y as follows;
y = -x + 9, where x = 2 gives;
y = -2 + 9 = 9 - 2 = 7
y = 7
The coordinates of the point of intersection is (2, 7).
