Point W
The coordinates of the point of intersection of the two lines: (2, 4)
Step-by-step explanation:
y = -1/2 x + 5
y = -2x + 8
The point s on the graph represent the x and y values when one of the function is plotted.
We need to find the points fro each of the line given:
y = -1/2 x + 5
There are no fractions but whole numbers on the graph, we would be starting our x values from 0 (each unit increse by 2) so the y value will also be a whole number
when x = 0
y = -1/2(0) + 5
y = 0 + 5 = 5
when x = 2
y = -1/2 (2) + 5
y = -1 + 5 = 4
when x = 4
y = -1/2 (4) + 5
y = -2 + 5 = 3
we plot these points on the graph. Then draw the line with the orange line (in red in the first graph)
y = -2x + 8
when x = 0
y = -2(0) + 8 = 0 + 8 = 8
when x = 2
y = -2(2) + 8 = -4 + 8 = 4
when x = 4
y = -2(4) + 8 = -8 + 8 = 0
Now we plot this points on the graph. Then draw the line with the blue line
Plotting the graph:
The point of intersection of the two lines (x, y) is at (2, 4)
The coordinates of W is at (2, 4)
Hence, the point on the graph given where this two points intersect is W.
The coordinates of the point of intersection of the two lines: (2, 4)