The equation for a line is y=mx+b. where m is the slope and b is the y intercept.
The slope of 17 is provided. This means m=17. The point (0,0) tells you the y intercept is 0. This means b=0
Plugging these into the equation and simplifying:
y=17x+0
y=17x
Hope this helps :)
Area of right-angled triangle is given by;
Area, A = 1/2 *b*h, Where b=base, h=height
Therefore,
A1 = 1/2bh = 16 in^2
A2 = 1/2 (2b)(2h) = 2bh
Ratio of increase = A2/A1 = {2bh}/(1/2bh} = 4 (the area is increased 4 times)
The,
A2 = 4*16 = 64 in^2
Therefore,
The area is increased by (64-16) = 48 in^2
Answer:
The equation for the following graph:

Step-by-step explanation:
- You first need to find the slope by using the <u>slope formula</u>:

(where
is the first point and
is the second point)
-Use the given points
and
from the graph for the formula:

Then, you solve:


After you have found the slope, use the slope
and the first point
for the <u>point-slope formula:</u>

<u>(</u>where
is the slope and
is the first point)

Then, you solve:




So, the equation for the following graph is
.
14/175 x 100 = 8%
answer is A. 8 (first choice)
Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles