Which unit rate corresponds to the proportional relationship shown in the graph?
2 answers:
Answer:
1.5 cm/s
Step-by-step explanation:
The unit rate is the same as the slope.
To find the slope, we use the slope formula:
Using our points, we have
m = (9-0)/(6-0) = 9/6 = 3/2 = 1.5 cm/s
Equation of line having coordinates
Now,as given the line passes through (0,0) and (6,9).
So, equation of line passing through (0,0) and (6,9) is :
→
As , slope intercept form of line is , y = m x +c
By comparing two lines
we get, m = 1.5
We can also find directly slope of line using the formula
m= cm/s→→option (D)
You might be interested in
Consider the attached figure. If AB has length 1, then BC has length sin(15°) and CD (the altitude of triangle ABC) has length sin(15°)·cos(15°).
By the double angle formula for sin(α), ...
... sin(2α) = 2sin(α)cos(α)
Rearranging, this gives
... sin(α)·cos(α) = sin(2α)/2
We have
... CD = sin(15°)·cos(15°) = sin(2·15°)/2
... CD = sin(30°)/2 = (1/2)/2 = 1/4
That is, the altitude, CD, is 1/4 the hypotenuse, AB, of triangle ABC.
The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line is the negative reciprocal of that:
... m = -1/(3/5) = -5/3
The point-slope form of the equation of a line can be written as
... y = m(x -h) +k . . . . .for slope m and point (h, k)
Using the values we are given for the perpendicular line, its equation is
... y = (-5/3)(x -15) -5
Simplifying gives
... y = (-5/3)x +20
The y-intercept of the perpendicular line is 20.
