Find the slope of the line given its graph. (1 point) Responses 9 −9 negative 9 −4 1/2 negative 4 Start Fraction 1 over 2 End Fraction −1/9
The slope of a line can be determined by finding the change in the y-coordinate over the change in the x-coordinate.
Looking at the given responses, we can see that the options are: -9, -4, 1/2, and -1/9.
Since we don't have a clear graph that shows the change in coordinates, we cannot determine the slope accurately.
To find the slope of a line given its graph, you need to locate two points on the line. Let's call these points (x₁, y₁) and (x₂, y₂).
Once you have identified the coordinates of the two points, you can use the formula for slope:
slope = (y₂ - y₁) / (x₂ - x₁)
Now, let's use the points provided in the options to calculate the slope:
a) (9, -9) and (-4, 1/2):
slope = (1/2 - (-9)) / (-4 - 9)
= (1/2 + 9) / (-4 - 9)
= (9 1/2) / (-13)
= -19/13
b) (9, -4) and (-4, 1/2):
slope = (1/2 - (-4)) / (-4 - 9)
= (1/2 + 4) / (-4 - 9)
= (8 1/2) / (-13)
= -17/13
c) (9, -9) and (-4, -4):
slope = (-4 - (-9)) / (-4 - 9)
= (-4 + 9) / (-4 - 9)
= 5 / (-13)
= -5/13
d) (9, 1/2) and (-4, -1/9):
slope = (-1/9 - 1/2) / (-4 - 9)
= (-1/9 - 9/18) / (-4 - 9)
= (-1/9 - 9/18) / (-13)
= (-2/18 - 9/18) / (-13)
= (-11/18) / (-13)
= -11/18 * (-1/13)
= 11/234
Based on the calculations, the slope of the line depends on the given points. The correct slope for the line is:
-19/13, -17/13, -5/13, or 11/234.
To find the slope of a line given its graph, you need to determine the change in the y-coordinates divided by the change in the x-coordinates between two points on the line.
Looking at the provided options, we can see that the only option representing a fraction is "negative 4 Start Fraction 1 over 2 End Fraction." However, it is important to clarify if the negative sign applies to the whole fraction or just the numerator or denominator.
If the negative sign applies to the whole fraction, then the slope would be -4 * 1/2 = -2.
If the negative sign applies only to the numerator or the denominator, then the slope would be 4 * 1/2 = 2.
Thus, we need further clarification to determine the correct slope.