graph: y-5=x+1?

Answer 1

These questions are easy and you should learn how to do them quickly. First solve for y:

y - 5 = x + 1
+5 = +5
y = x +6


put a value of x in the equation and see what the corresponding y is:

x=0 , y = 0+6 =6 yields point (0,6)
x =1, y = 1+6 =7 yields point (1,7)
x=2, y = 2+6 =8 yields point (2,8)
y=-3, y =-3+6 =3 yields point (-3, 3)

Plot the points on graph paper. It is a straight line

Answer 2

Hi,
If you have a TI-82, TI-83 Plus, or TI-84 calculator, you can graph the equation this way:
a) Press the Y= key. All equations must be in the slope-intercept form, y=mx+b, before entry.
b) Enter the function(s) using the [X,T,Θ,n] key to enter the variable.
c) Press GRAPH to graph the function. (If you don’t see your graph, press
TRACE and use the arrows to find the maximum or minimum value of your
function. Press ENTER.)
d) To leave the screen without graphing: press 2nd, QUIT.
e) Press CLEAR while the cursor is on the same line as the function to erase the
function.
f) To deselect a function, move the cursor to the equal sign and press ENTER.
Now, you can press 2nd, TABLE and find some points for graphing by hand if you are required to do that.

You should know how to do this by hand, however. Here's one way to do that:
1) Solve for y
y-5 = x+1
y = x+6
2) Now, comparing that to the form
y=mx +b,
we see that m = 1 and b = 6
3) So, mark one point at b, the point (0, 6).
4) Now, from that point, go over one unit and up one unit (because the slope is 1) and make anothe point.
5) Draw a straight line through those two points and that's your graph.

Hope this helps.
FE.