The slope of a line passing through is H (-2.5) is -.75 . Which ordered pair represents a point on this line?
A.(6,-1)
B.(2,8)
C.(-5,1)
D.(1,1)
check A.
The slope is (-1-5)/(6+2) = -6/8 ... Bingo
To find the point on a line with a given slope passing through a specific point, we can use the formula for the equation of a line:
y - y₁ = m(x - x₁)
Where (x₁, y₁) represents the given point and "m" represents the slope of the line.
In this case, we are given the slope (m = -0.75) and the point (-2.5, ?). We can substitute these values into the formula and solve for the y-coordinate.
Using (-2.5, ?) and m = -0.75:
y - (-2.5) = -0.75(x - (-2.5))
y + 2.5 = -0.75(x + 2.5)
Now we can simplify the equation:
y + 2.5 = -0.75x - 1.875
y = -0.75x - 4.375
Now we can check which option represents a point on this line by substituting the x and y values from each option into the equation and checking if it satisfies the equation:
A. (6, -1) -> -1 = -0.75(6) - 4.375 -> -1 = -4.5 - 4.375 -> -1 = -8.875 (Not a solution)
B. (2, 8) -> 8 = -0.75(2) - 4.375 -> 8 = -1.5 - 4.375 -> 8 = -5.875 (Not a solution)
C. (-5, 1) -> 1 = -0.75(-5) - 4.375 -> 1 = 3.75 - 4.375 -> 1 = -0.625 (Not a solution)
D. (1, 1) -> 1 = -0.75(1) - 4.375 -> 1 = -0.75 - 4.375 -> 1 = -5.125 (Not a solution)
None of the options represent a point on this line, so none of the given options are correct.