Thursday, July 9, 2009

Can you help me to put the following equation into the standard format y=mx+c?

Can you help me to put the following equation into the standard format y=mx+c


5a+2b%26lt;=7

Can you help me to put the following equation into the standard format y=mx+c?
5a+2b%26lt;=7


The above is not an equation -- it is an inequality.


5a %26lt;= -2b +7


a %26lt;= -2b/5 + 7/5





In the above a = y, -2/5 = m and 7/5 = c
Reply:5a + 2b %26lt;= 7


5a %26lt;= -2b + 7


a %26lt;= -2b/5 + 7





'a' equivalennt to 'y' %26amp;


'b' equivalent to 'x'





'm' is '-2/5' %26amp; 'c' is +7
Reply:let b be on y-axis %26amp; a on x-axis


2b%26lt;=7-5a


b%26lt;=7/2-5/2a


here m=-5/2 and c=7/2
Reply:b%26lt;= - (5/2)a+7/2
Reply:b = -5/2 (a) + 7/2





if u still have any doubts pl. contact me .


Hi,





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Reply:if you say a=y %26amp; b=x then you can sub these into the eqn.


5y + 2x %26lt;7


then move over the 2x %26amp; change the sign


5y %26lt; 7- 2x


then divide the whole eqn. by 5 to leave y by itself


y %26lt; 7/5 - 2/5x


%26amp; then rearrange the order slightly


y %26lt; -2/5x + 7/5


for this eqn. your 'm' value of -2/5 is the gradient of the line %26amp; 'c' value of 7/5 is the intercept
Reply:isn't y=mx+c the formula to work out a gradiant
Reply:I'm assuming you meant to state: y = mx + b





Simply substitue a for the usual x and b for the usual y in the equation y = mx + b.





5x + 2y %26lt;=7





solve for y:





2y %26lt;= -5x + 7


y %26lt;= -5/2x + 7/2





Therefore, substituting ==%26gt; b %26lt;= -5/2a + 7/2
Reply:hi,


I thought i would explain what y=mx+c means so you know it for future reference. It is the general equation for straight lines on a graph. the y stands for line. the m stands for gradient. the x just stands for x. the c stands for y-intercept. For example, the line y=3x+5 means that the gradient is 3. The line crosses the y axis at 5. Gradient in an easy way is go right one square from any point on the line if positive or left one square from the line if negative then however many squares it takes going up until you hit the line is the gradient. note that if you went left one the gradient will be negative. this along with the y-intercept is a good way to check that you have drawn your line properly. I would remember y-mx+c as L=gx+y if it helps but please don't let this confuse you.


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