Write an equation for the line graphed.
Responses
A: y= 2/3x-3
B: y= 2/3x+3
C: y= 3/2x-3
y= 3/2x+3
Which is the MOST reasonable estimate of the y-intercept for this linear graph?
A: -1.7
B: -0.6
C: 0.6
D: 1.7
B: -0.6
Find the rate of change for the ramp represented in the graph.
length (inches): 0-25
Height (inches): 0-25
A: 2
B: 3
C: 1/2
D: 1/3
A: 2
Rate of change = (Change in height) / (Change in length)
Rate of change = (25 - 0) / (25 - 0)
Rate of change = 25 / 25
Rate of change = 1
The rate of change in this case is 1, slopes of 1 represent a 45-degree inclination, which is equivalent to 100% incline (or an incline of 1 unit vertically for every 1 unit horizontally) in this case. This is the slope since it's equal to 1.
The ramp doesn't have an incline of 1/2 or 1/3, so those options can be eliminated.
Therefore, the rate of change is 2.
Find the rate of change for the ramp represented in the graph.
length (inches): 0-25
Height (inches): 0-25
the point is at (15,5)
A: 2
B: 3
C: 1/2
D: 1/3
The rate of change represents the slope of the line which is given by the change in height divided by the change in length.
Change in height = 5 - 0 = 5 inches
Change in length = 15 - 0 = 15 inches
Rate of change = Change in height / Change in length = 5 / 15 = 1/3
Therefore, the rate of change for the ramp represented in the graph is 1/3.
The correct answer is D: 1/3.
which equation matches the function represented by the table?
Table:
x= 0,1,2,3,4
Y=5,8,11,14,17
A: y=3x
B: y=x+5
C: y=3x+5
D: y=x+11
By examining the given table, we can see that the relationship between x and y is y = 3x + 5.
If we plug in x = 0 into the equation y = 3x + 5, we get:
y = 3(0) + 5
y = 0 + 5
y = 5
Similarly, for x = 1:
y = 3(1) + 5
y = 3 + 5
y = 8
By substiting the values for the rest of the x values, we can verify that the equation y = 3x + 5 matches the function represented by the table.
Therefore, the correct equation is C: y=3x+5.
which equation is graphed here
y= (-2,6)
x= (7,-1)
A: 2x+3
B: y=2x-3
C: y=3x+2
D: y=3x-2
y= -3x+2
To determine the equation from the points provided (-2,6) and (7,-1), you can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Using (-2,6) and (7,-1):
m = (-1 - 6) / (7 - (-2)) = -7 / 9
Next, you can choose one of the points to substitute into the point-slope form of the equation:
y - y1 = m(x - x1)
Taking point (7,-1):
y - (-1) = (-7/9)(x - 7)
y + 1 = (-7/9)(x - 7)
y + 1 = (-7/9)x + 7
y = (-7/9)x + 6
Therefore, the equation that matches the points (-2,6) and (7,-1) is D: y = (-7/9)x + 6.