Find the equation of a line passing through the point A (14,23) and the slope 2.
1 answer:
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Answer:
Slope of this line is given by:
<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>
Step-by-step explanation:
It is given that time is tracked by Aaron related to x coordinate.
and the area of land mowed in acres is related to y coordinate.
Two of his points are given as:
(3, 1.5) and (5,2.5)
We know that the coordinates are represented in the form of (x,y)
i.e. first coordinate represents x coordinate and
second coordinate represents y coordinate.
So, it can be observed that:
Change in x coordinate =
i.e. total time taken is 2 hours.
Change in y coordinate =
i.e. total land mowed taken is 1 acre.
In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>
So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.
<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.
Land mowed in 2 hours = 1 acre
Land mowed in 1 hours = acre i.e. 0.5 acre
Also, slope of a line is given as:
Here
As per formula:
So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.
Answer:
The slope of the line passing through the points (−3, −5) and (−1, −6) is (-0.5)
Step-by-step explanation:
Equation of a straight line:
y = mx + b where m is the slope and b is the y-intercept
(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)
Calculating Slope (m).
m =
m =
m =
m =
we can take this a step further by finding the equation:
Now putting value of m in equation (i)
y = -0.5x + b
Calculating Y-intercept (b).
Lets choose the first point, (-3,-5) for calculating y-intercept:
y = mx + b
-5 = -0.5(-3) + b
-5 = 1.5 + b
-6.5 = b
b = -6.5
Now putting value of b in equation
y = -0.5x + -6.5