SOLUTION: What must be the next point to have a slope of 3/4 if the first point is (4,5)? The answer was (0,2) & (8,8) but i don't understand how that became the answer. Help me please.

Algebra.Com
Question 637305: What must be the next point to have a slope of 3/4 if the first point is (4,5)?
The answer was (0,2) & (8,8) but i don't understand how that became the answer. Help me please.

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
What must be the next point to have a slope of 3/4 if the first point is (4,5)?
.
Remember, slope is rise/run
So, for a slope of
3/4
identical slope is also:
(-3)/(-4)
.
Considering 3/4 as the slope:
if you started at an arbitrary point (x,y)
the next point would be (x+4, y+3).
if you started at (4,5)
the next point would be:
(4+4,5+3)
(8,8)
.
Considering (-3)/(-4) as the slope:
if you started at an arbitrary point (x,y)
the next point would be (x-4, y-3).
So, given that (x,y) is (4,5)
the next point would be:
(4-4,5-3)
(0,2)


RELATED QUESTIONS

Find the slope of the line that contains the point 8,-6 with a y-intercept of 4 The... (answered by checkley71)
What is the slope of this tangent if given this point? y=4/x (-2,8) It reads: y... (answered by oberobic)
Put the numbers in order from least to greatest:8.56,8.07,9.2,8.4. I had 8.07, 8.4,... (answered by CubeyThePenguin)
Dear teaches, my math teacher gave me the following sequence: 1234321, 26121262,... (answered by greenestamps)
Hello. I have a problem that I can graph and get the answer, but can not figure out the... (answered by ankor@dixie-net.com)
Help please. I don’t think I’m doing it right. Write the slope-intercept form of... (answered by josgarithmetic,Alan3354,MathTherapy,ikleyn,greenestamps)
In a geometric sequence, find the first five terms when An=(2)^n-1, starting with n=1. I (answered by rothauserc)
Hello, I need to find the slope of a line, but I'm confused when reading the graph. The... (answered by stanbon,Alan3354)
I am having a hard time with this. I don't understand. Can someone please break down and... (answered by Alan3354,stanbon)