# Using gradient formula find the gradient joining each of the following pairs of points. C(5,1) and (8,3)

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You only gave one pair of points so I assume you want a line going through those two points.
y = (2/3)x - 7/3

Posted on Jul 31, 2013

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Move the tangent, to the sin, inverse the fraction then divide!

Posted on Oct 21, 2013

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## Related Questions:

### In the following data set Y is a dependent variable.y=7.1,8.2,8.8,10.0,11.0,11.8;X=2.0,4.0,6.0,8.0,10.0,12.0 find gradient,intercept,mathematical relationship

If you plot this, it is approximately a straight line (with a y error or +/-.2). An ideal straight line would have y points of 7,8,9,10,11,12 for the given x's. The formula for this line is y=.5x + 6 . The gradient (slope) is .5 and the intercept is 6.
The gradient can be calculated using the formula:
(y2-y1)/(x2-x1) = (12-7)/(10-2) = 5/10 = 0.5
The intercept is where the graph crosses the y axis and can be calculated once the gradient is known by substituting any associated x and y into the formula: y=.5x + i (where i is intercept). For example the point (2,7) gives 7 = .5(2) +i
7 = 1 + i
6 = i
or using (12,12), 12 = (.5)(12) + i
12 = 6 + i
6 = i

Mar 01, 2014 | Office Equipment & Supplies

### All words in column A must be equal to column B plus the word on column H row 2...what is the formula? example: a2(dentist) h2(chico) on b2 must be "dentist chico"

You could use Concatenate command. Means to join together.
B2 = Concatenate A2, ,H2 Note the space in middle, for dentist chico. Otherwise will be dentistchico

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### What is the equation of the pair of points (-5,-8) and (-3, -1)

The site seems to eat the plus signs I enter, so I will use PLUS to symbolize addition.

To find the equation of the straight line (
y = a*x PLUS b) that passes through two points P1(x1,y1) and P(x2,y2) , you need to use
1. the coordinates of the points to calculate the slope a (gradient) as a=(y2-y1)/(x2-x1)
2.
Replace the calculated value of a in the equation and write that one of the points ( P1(x1,y1) for example) satisfies the equation. In other words y1=a*x1 PLUS b.
Here y1 and x1 are known values, a has been calculated, and only b is still unknown. You can now use the equation
y1=a*x1 PLUS b to calculate b as
b=(y1-a*x1)

Example: Equation of the line through (1,5) and (3,6)

Calculate the slope (gradient) of the line as a=(y2-y1)/(x2-x1) where y2=6, y1=5, x2=3, and x1=1. You should get a=(6-5)/(3-1)=1/2
The equation is y=(1/2)x PLUS b, where b is not known yet.

To find b, substitute the coordinates of one of the points in the equation. Let us do it for (3,6).

The point (3,6) lies on the line, so 6=(1/2)*3 PLUS b.
Solve for b: 6 MINUS 3/2=b, or b=9/2=4.5
Equation is thus y=(x/2) PLUS 9/2 =(x PLUS 9)/2

I trust you can substitute you own values for (x1,y1, x2,y2) to duplicate the calculations above.

Jan 27, 2011 | Texas Instruments TI-84 Plus Calculator

### Find an equation of the line containing the given pair of points (1,5)and(3,6)

Calculate the slope (gradient) of the line as a=(y2-y1)/(x2-x1) where y2=6, y1=5, x2=3, and x1=1. You should get a=(6-5)/(3-1)=1/2
The equation is y=(1/2)x PLUS b, where b is not known yet.

To find b, substitute the coordinates of one of the points in the equation. Let us do it for (3,6).

The point (3,6) lies on the line, so 6=3/2 PLUS b.
Solve for b: 6 MINUS 3/2=b, or b=9/2=4.5
Equation is thus y=(x/2) PLUS 9/2 =(x PLUS 9)/2

Oct 20, 2010 | Texas Instruments TI-84 Plus Calculator

### Find an equation of the line containing the given pair of points (-6,0) and (0,1) what is the equation of the line? y=

Calculate the slope (gradient) of the line as a=(y2-y1)/(x2-x1) where y2=1, y1=0, x2=0, and x1=-6. You should get a=(1-0)/(0-(-6))=1/6
The y-intercept is the y-cordinate for x=0. Its value is 1.
The equation is then y=(x/6) 1.

Oct 18, 2010 | Texas Instruments TI-84 Plus Calculator

### I cannot use fill colour for shapes, text boxes etc on either Word or Publisher -Office 2007 I click on fill colour but shape remains blank - a series of dots do appear around the shape.

Apply a different shape fill You can fill a selected shape (such as data markers, titles, data labels, or a legend) with a solid color, gradient, picture, or texture. You cannot use shape fill to format lines in a chart (such as gridlines, axes, trendlines, or error bars).

On a chart, click the chart element that you want to change, or do the following to select it from a list of chart elements:
1. Click a chart. This displays the Chart Tools, adding the Design, Layout, and Format tabs.
2. On the Format tab, in the Current Selection group, click the arrow next to the Chart Elements box, and then click the chart element that you want to use.
On the Format tab, in the Shape Styles group, click Shape Fill

1. Do one of the following:
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• To remove the color from the selected chart element, click No Fill.
• To use a fill color that is not available under Theme Colors or Standard Colors, click More Fill Colors. In the Colors dialog box, specify the color that you want to use on the Standard or Custom tab, and then click OK. Custom fill colors that you create are added under Recent Colors so that you can use them again.
• To fill the shape with a picture, click Picture. In the Insert Picture dialog box, click the picture that you want to use, and then click Insert.
• To use a gradient effect for the selected fill color, click Gradient, and then under Variations, click the gradient style that you want to use. For additional gradient styles, click More Gradients, and then in the Fill category, click the gradient options that you want to use.
• To use a texture fill, click Texture, and then click the texture that you want to use.
Tip If you don't like the change that you made, you can undo it immediately. On the Quick Access Toolbar, click Undo , or press CTRL+Z.

Jun 01, 2010 | Microsoft Office Professional 2007 Full...

### What is formula to use 5 point drop down list to prompt entry of cell value into specific location

You can use cell validation.
Select the cells you want to have the dropdown list.
Press the following keys "alt" "d" "l" and you get a message box.
select List from the drop down.
Now you can type in your list in the blank box separated by commas

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### Co-ordinate geomentry

get a sheet of graph paper. draw a line vertical and draw another line in the center perpendicular to the vertical. the meeting point is 0,0 - the upper right quadrant is X-Y. the bottom right quadrant is Y -X, the left bottom is -Y -X and what's left is -X +Y.
take your first coordinate. count up 2 and to the right 3. make a point. second coordinate - count up 4 and over right 1, make a point. now join the two points with a straight line. measure the distance between the points.

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### Excel Formula

columns total in additin cells of rows equal are total

Oct 24, 2007 | Oracle 10g Database Standard (ODBSEONUPP0)

### Excel formula

Relative cell reference is address of cell , when copied from one cell to another gets changed automatically.

e.g. Put formula in cell c5 as A5+1 when you copy this from c5 to c6 the address of A5 will automatically changed to A6.

Absolute Cell Reference

As above now put formula in cell C5 as \$A\$5+1 ,now copy this formula from C5 to C6 if you this formula youwill find cell Address of A5 does not changed.

Mixed Cell Reference:

If we put Dollar (\$) sign before Alphabetic cell address i.e.\$c5 then even if you copy this formula in any cell , coloumn (c)  will remains constant.

Similarly if we put Dollar (\$) sign before Numeric cell address i.e.c\$5  then you copy this formula in any cell row address of the cell remains same.(5).

Pl elobarate on remaining two points 'Specific order of formulas ' and 'advance formulas,

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