please help show my son how to create a graph from the following functions. y=x+5
Start with a set of axes:
substitute
x = 1
into that equation
y = (1) + 5
y = 1 + 5
y = 6
Write the ordered pair (x,y) = (1,6)
Plot that ordered by drawing a vertical green line
through 1 on the x axis (since x=1) and a red line
through 6 on the y-axis (since y=6), like this:
Mark the point where they cross, and label it
Now erase the green and red lines.
----
substitute
x = -2
into that equation
y = (-2) + 5
y = -2 + 5
y = 3
Write the ordered pair (x,y) = (-2,3)
Plot that ordered by drawing a vertical green line
through -2 on the x axis (since x=-2) and a red line
through 3 on the y-axis (since y=3), like this:
Mark the point where they cross, and label it
Now erase the green and red lines.
Now draw a blue line through both those points:
That blue line is the graph of the equation . Notice that the
values I picked for x, 1 and -2 were completely arbitrary! Picking any
value of x will do, You will get different points, but they will always fall
right on that same blue line. The other tutor picked 0 and -5, and (0,5) and
(-5,0) are also on this line.
Edwin