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)
ok so i dont get questions like these when they put fractions. I basically need help understanding the whole question. Can someone break it down for me or something or make it easier for me to undertsand? Please !
Hi! I finally chose an answer even though no one helped. Anyway I chose B, (2, 8). Can someone PLEASE check my answer? It would be greatly appreciated, ty!
x = 2 and y = 8 ?
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H (-2, 5) and m = -3/4
5 = -(3/4)(-2) + b
5 = 3/2 + b
b = 7/2
so the line is
y = -(3/4) x + 7/2
or
4 y + 3 x = 14
now try x = 2 and y = 8
no way
theres so many stuff it isnt organized??? what do you want me to try or are you saying its wrong im so confused ...
Of course! I'm here to help you understand the question. Don't worry, I'll break it down for you step by step.
First, let's understand what is meant by the "slope of a line." The slope is a measure of the steepness of a line. In this case, you are given that the slope of the line passing through the point H (-2, 5) is -3/4.
To find the slope of a line passing through two points, you can use the formula:
slope (m) = (change in y) / (change in x)
Let's apply this formula to the given point H (-2, 5):
Let's call the second point on the line (x, y), then we have:
change in y = y2 - y1
change in x = x2 - x1
Substituting the values into the formula, we get:
-3/4 = (y - 5) / (x - (-2))
Now we can simplify the equation:
-3/4 = (y - 5) / (x + 2)
To find a point on the line, we need to substitute different values into the equation until we find a pair that satisfies the condition. Let's try each option:
A. (6, -1)
Substituting these values into the equation:
-3/4 = (-1 - 5) / (6 + 2)
-3/4 = -6/8
-3/4 ≠ -6/8
B. (2, 8)
Substituting these values into the equation:
-3/4 = (8 - 5) / (2 + 2)
-3/4 = 3/4
-3/4 ≠ 3/4
C. (-5, 1)
Substituting these values into the equation:
-3/4 = (1 - 5) / (-5 + 2)
-3/4 = -4/3
-3/4 ≠ -4/3
D. (1, 1)
Substituting these values into the equation:
-3/4 = (1 - 5) / (1 + 2)
-3/4 = -4/3
-3/4 ≠ -4/3
None of the options satisfy the equation -3/4 = (y - 5) / (x + 2). Therefore, none of the given options represent a point on the line with a slope of -3/4 passing through H (-2, 5).
I hope this explanation helps! Let me know if there's anything else I can assist you with.