The equation of the line passes through the point and has a slope is .
<h3>
What are a line and the slope of a line?</h3>
Line:
- A line has only one dimension i.e., length and no width.
- It is formed with an infinite number of points lying on it.
- It can be extended infinitely along a straight path in both directions.
- An infinite number of lines pass through a given point, and a unique straight line can be drawn if any two points on that line are shown.
The slope of a line:
The slope of a line is the tangent value of the angle i.e., , where is the angle made by the line with the positive -axis.
Equation of a line:
The equation of a line in slope-intercept form is given by , where is the slope of the line and is the intercept of the line.
Here, we want to find the equation of the line which passes through the point and has a slope .
So, put in and obtain .
Now, since the line passes through the point , put and in to obtain:
Therefore, after substituting in , we obtain the required equation of the line that is .
So, the equation of the line that passes through the point and has a slope is .
12
30
15
AND THE LAST ONE IS 2 LOL
and thank you for the points :))))) i appreciate it :’)
I think that's the side angle side similarity theorem
28 men are needed to paint the room in 3 hours
<h3><u>Solution:</u></h3>
Given that it takes 12 hours for 7 men to paint a room
We are asked to find number of men required to paint the room in 3 hours
Recognize, "paint the room" is 1 task. One job.
7 men -------- 12 hours ------ 1 job
(7/7) = 1 men ------- 12 x 7 (84) ------- same 1 job
The one men is rate is 84 hours to do the job
We can express this as 1/84 jobs per hour, the one-person rate
Now lets find how many men needed to paint the room in 3 hours
Let the required number of men for 3 hours be "a"
The rates of each person is simply additive.
corresponds to rate x hours = jobs and "a" is a variable for how many men
Thus 28 men are needed to paint the room in 3 hours