Tammy B. answered • 05/05/18
Tutor
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Patient and caring math teacher and tutor.
Okay, only your x values are changing in this situation, y stays the same. Graph y=5x-3 and get 2 coordinates from this graph. I chose (0, -3) and (1, 2). Then perform the translation of adding 3 to both x's.
(0+3, -3)---->(3, -3)
(1+3, 2)----->(4, 2)
Use these new points to find the slope of the new line. Notice that the slope is the same, m = 5. That makes sense since we only shifted the new graph right 3 units so the slope does not change.
Next, we need to write an equation of the new line in y=mx+b form. Use any one of your new points and use them as x and y values to find b. We already know m, which is 5.
I chose (3, -3)
y=-3
x=3
m=5
b=?
y=mx+b
-3=(5)(3)+b
-3=15+b
b=-18
New equation: y=5x-18.
