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Given:
A recipe uses 4 pounds of rice and 5 quarts of boiling water.
To find:
The rate of rice to quarts of water for this recipe.
Solution:
We need to divide the amount of rice by amount of water to get the rate of rice to quarts of water for this recipe.
Therefore, the rate of rice to quarts of water for this recipe is 0.8.
Let
A(4,0)
B(12,5)
C(20,10)
we know that
The x-intercept of the line is the value of x when the value of y is equal to zero
The y-intercept of the line is the value of y when the value of x is equal to zero
The point A(4,0) is the x-intercept of the line
<u>Find the slope AB</u>
m=(y2-y1)/(x2-x1)
mAB=(5-0)/(12-4)--------> mAB=5/8
<u>with the slope m and the point A(4,0) find the equation of the line</u>
y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5
<u>Find the y-intercept</u>
For x=0
y=0.625*0-2.5---------> y=-2.5
the y-intercept is the point (0,-2.5)
therefore
<u>the answer is</u>
the x-intercept is the point (4,0)
the y-intercept is the point (0,-2.5)
see the attached figure to better understand the problem
