How would I graph a line that contains the point (6,5) and has a slope of - 2/3 ?
2 answers:
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Step-by-step explanation:
The sum of ages of two friends is 13 years.
The product of their ages is 42.
<em>Let the age of 1st friend and 2nd friend is x, y respectively.</em>
<em>1 st condition= The sum of ages of two friends is 13 y</em><em>r</em><em>s. </em>
i.e x+y = 13........ (I)
<em>2nd condition= The product of their ages is 42.</em>
i.e X*y = 42........(ii)
From equation (I)
X+y = 13
or, X = 13-y........ (iii)
<em>Putting the equation (iii) in equation (ii).</em>
X*y= 42
(13-y) * y = 42
13y - y^2 = 42
Either; y-6 = 0
y = 6
Or;
y-7=0
y = 7
<em>Keeping the value of y as "7" in equation (ii)</em>
x*y = 42
7x = 42
X = 42/7
Therefore, the value of X is 6.
Therefore, either 1st friend is 6 years and 2nd is 7 years.
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The linear equation that represents the scenario is 5x + 2.5y = 20
<h3>How to determine the equation?</h3>The given parameters are:
- Popcorn = $5 per bag
- Candy = $2.5 per bag i.e. half the price of pop corn
Let x represents popcorn and y represents candy.
So, we have:
5x + 2.5y = 20
The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy
See attachment for the graph
Read more about linear functions at:
#SPJ1
