Answer:
y = 2x - 20
Step-by-step explanation:
Simplfy 2 (x-1)
y + 18= 2x - 2
move all terms contain "y" to the left side
y = 2x - 20
<span>slope intercept form
y = 4x
hope it helps</span>
We know that
the equation of the line in standard form is
Ax+By=C
the equation of the line <span> in the slope-intercept form is
</span><span>y +1 = 2/3 (x - 8)-----> y+1=(2/3)x-(16/3)----> y-(2/3)x=(-16/3)-1
</span>y-(2/3)x=(-19/3)----> multiply by 3-----> -2x+3y=-19
the answer is
-2x+3y=-19
<span>I verify that the points belong to the given line
for the point (8,-1)
-2*8+3*(-1)=-19--------> -16-3=-19-----> -19=-19------> is ok
for the point (2,-5)
-2*2+3*(-5)=-19------> -4-15=-19------> -19=-19-----> is ok</span>
Answer:
A cup of yogurt has 175 calories.
Step-by-step explanation:
We can solve for the amount of calories in one cup of yogurt and in one banana by setting up and solving a system of equations. Given the information in the problem '2 cups of yogurt and 3 bananas is 650 calories' and '4 cups of yogurt and 2 bananas is 900 calories' we can set up two equations:
2y + 3b = 650 and 4y + 2b = 900, where 'y' is the cups of yogurt and 'b' is the number of bananas.
Using elimination, we can multiply the first equation by a factor of '-2' and then add the equations together to solve for the remaining variable:
-2(2y + 3b = 650) = -4y - 6b = -1300
-4y - 6b = -1300
<u>+ 4y + 2b = 900</u>
-4b = -400, or b = 100, so each banana has 100 calories, if each banana has 100 calories: 4y + 2(100) = 900 or 4y = 700 or y = 175. So, each cup of yogurt has 175 calories.
