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Which of these points are on a line that has a slope of 3?

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Every point on the plane is on exactly one line with a slope of 3.

Posted on Oct 17, 2013

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A line with a slope of - 1 7 passes through the points u, - 1 and 5, - 3. What is the value of u?


Slope is usually designed by the letter m. m=delta y/delta x or change in y/change in x or (y2-y1)/(x2-x1).
What we know.
m = -17 (very very steep, with a negative slope, going up to the left)
Point (5, -3)
Point (u,-1)

Putting everything into the above equation, we get
m = (-3-(-1))/(5 - u) , where m =-17
-17 = (-3 + 1)/(5 - u)
-17 = (-2)/(5-u)
To get rid of the fraction, multiply both sides by (5 - u)
-17(5-u) = -2
-85 + 17u = -2
Add 85 to both sides to get rid of the -85.

-85 + 85 +17u = -2 + 85

17u = 83
Divide both side to get u by itself.

17u/(17) = 83 / 17

u = 4.89 (rounded to 2 decimals)

Good luck,

Paul

Oct 24, 2016 | Office Equipment & Supplies

1 Answer

Write the slope intercept form of the equation of the line through the given point (-2, -3), slope=1/2


The "slope intercept form of the equation of a (the) line" is y=mx+b, where m is the slope of the line and b is the y-intercept.

We are given the slope of 1/2, so m= 1/2.

We can now write y=1/2 x + b.

Since the point (-2,-3) is on the line, we can substitute it in and solve for b. We put the -2 in for x and -3 in for y.

-3 = 1/2(-2) +b
-3 = -1 + b
-3 + 1 = -1 + b +1
-2 =b

Thus, the equation of the line is y= 1/2 x -2

To check if we did this correctly, plug in the point (-2, -3) to see if it works.
Left Side Right Side
-3 = 1/2 (-2) -2
= -1-2
= -3


Feb 24, 2015 | Office Equipment & Supplies

1 Answer

How do I graph -3,-3 with a slope of 0


To graph (-3, -3) we start at the origin (0,0) and go 3 squares to the left and then 3 squares down.

Slope is defined in many ways, including rise/run, delta y/ delta x, etc.

Since 0 divided by anything is 0, the rise must be zero, so the slope of 0 is a horizontal line.

Put the point and the slope together, we have a horizontal line going through (-3,-3).

Good luck.

Paul

Feb 04, 2015 | Office Equipment & Supplies

1 Answer

Calculate the slope of the secant line through the points on the graph where x=1 and x=3.


You have to provide the graph. Depending on the graph, the slope of the secant line can be just about anything.

Jan 30, 2015 | Office Equipment & Supplies

1 Answer

Slope and y intercept


Points don't have slopes.
The slope of the line going through those two points is 2/3.

Aug 19, 2014 | Office Equipment & Supplies

1 Answer

Which of these points are on a line that has a slope of 3?


A line with slope 3 can be drawn through any and every point on the plane.

Oct 17, 2013 | Texas Instruments Office Equipment &...

1 Answer

3x+9y=17


  1. Transform this equation to its functional form:
  2. 9y=-3x+17 or y=(-1/3)x+17/9
  3. In the last equation, the slope is the coefficient of x, namely -1/3.
  4. A line parallel to this one must have the same slope (-1/3).
  5. So the equation of your line starts this way: y=(-1/3)x+b.
  6. To identify (calculate) b, you must make use of the fact that the parallel line passes through the point (1,5).
  7. That means that the coordinates of the point (1,5) satisfy the equation of the parallel line y=(-1/3)x+b
  8. Substitute 5 for y, and 1 for x and solve for b.
And that is as far I will go. I leave it to you finish up the work : find b and write the equation in the functional form, then convert it to the general form (Ax+By+C=0) if that is what you are asked to produce.

Aug 05, 2012 | Office Equipment & Supplies

1 Answer

THE POINTS L(4,0),M(10,0),AND N(7,5) FROM LMN.WHAT IS THE SUM OF THE SLOPES OF THREE SIDES OF THE TRIANGLE


slope of side lm by applying slope =(y2-y1)/(x2-x1)


slope of lm=0

slope of mn=5/-3 = -5/3


slope of ln= 5/3


so sum of slopes =0

Apr 06, 2010 | SoftMath Algebrator - Algebra Homework...

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How do i find the slope of a line


difference in y (Y2-Y1) divided by difference in x (X2-X1). Example: 1st point (5,3) and second point (10,6) means subtract 3 from 6 (2nd y value from first)= 3- this is your numerator. now subtract second X value from firt X value (10-5)= 5; this is the denominator. the slope (m) is 3/5 or .6

Mar 15, 2009 | Texas Instruments TI-85 Calculator

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