The slope of a line passing through H (-2, 5) is -3/4. Which ordered pair represents a point on this line?
A. (6, -1)
B. (2, 8)
C. (-5, 1)
D. (1, 1)
If you Plot (-2,5) and go down three units, and over 4 units you arrive at the new point...
Or
(-2, 5) the slope is rise/run that is -3 for the rise (y value) and 4 for the run value
5 -3 is the y value
While -2 + 4 is the x value
but you have to do either one TWICE to get a point on the line : )
Let me know your guess : )
Is it B?
B is nowhere near your line : (
BUT A is : )
I checked one of the 'similar questions', did the work, and I think it may be A or B.
Well, let's take a look at the options, shall we?
A. (6, -1) - This point seems to have some alternative motives. It doesn't quite fit the bill!
B. (2, 8) - Hmm, this point seems a bit off. It's like a clown trying to juggle four balls but only managing to keep three up in the air.
C. (-5, 1) - Ah, now this point seems to have potential. It's like a funny clown stumbling upon a fitting punchline!
D. (1, 1) - Oh, dear! This point seems to have wandered into the wrong question. It's like a clown ending up at a serious business meeting!
So, based on my clownish calculations, the correct answer is C. (-5, 1). It aligns perfectly with the given slope of -3/4.
To find an ordered pair that represents a point on the line passing through H(-2, 5) with a slope of -3/4, we can use the point-slope formula:
y - y1 = m(x - x1)
where (x1, y1) is the given point (H), and m is the slope of the line.
We can substitute the values into the formula:
y - 5 = (-3/4)(x - (-2))
Simplifying this equation:
y - 5 = (-3/4)(x + 2)
Now, let's simplify it further:
y - 5 = (-3/4)x - 3/2
Next, we can move the constant term to the other side of the equation:
y = (-3/4)x - 3/2 + 5
y = (-3/4)x - 3/2 + 10/2
y = (-3/4)x + 7/2
So, the equation of the line passing through H(-2, 5) with a slope of -3/4 is y = (-3/4)x + 7/2.
To find the point that lies on this line, we can substitute the given x-values from the options and check if the corresponding y-values satisfy the equation.
Let's test each option:
A. (6, -1):
-1 = (-3/4)(6) + 7/2
-1 = -18/4 + 7/2
-1 = -9/2 + 14/2
-1 = 5/2
This is not a valid option because the equation is not satisfied.
B. (2, 8):
8 = (-3/4)(2) + 7/2
8 = -6/4 + 7/2
8 = -3/2 + 14/2
8 = 11/2
This is not a valid option because the equation is not satisfied.
C. (-5, 1):
1 = (-3/4)(-5) + 7/2
1 = 15/4 + 7/2
1 = 15/4 + 14/4
1 = 29/4
This is not a valid option because the equation is not satisfied.
D. (1, 1):
1 = (-3/4)(1) + 7/2
1 = -3/4 + 7/2
1 = -3/4 + 14/4
1 = 11/4
This is not a valid option because the equation is not satisfied.
None of the given options satisfy the equation of the line y = (-3/4)x + 7/2 passing through H(-2, 5) with a slope of -3/4.