A line has a slope of 1/11 and a y-intercept of -19. What is its equation In slope-intercept form
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Answer:
The equation of the line is y=1.4x+6.8
Step-by-step explanation:
Given 2 points on the graph, you can find the slope using the equation: . The 2 points are (-7, -3) and (-2, 4). X1 is -7, X2 is -2, Y1 is -3, Y2 is 4. The slope would be 1.4 once you plug in the numbers to the equation to finding the slope. Once you find the slope, use one of the points to find the y-intercept along with the slope you found and the y-intercept will be 6.8.
The amount of the radioactive material in the vault after 140 years is 210 pounds
<h3>How to determine the amount</h3>We have that the function is given as a model;
f(x) = 300(0.5)x/100
Where
- x = number of years of the vault = 140 years
- f(x) is the amount in pounds
Let's substitute the value of 'x' in the model
f(x) = 300(0.5)x/100
f(140) = 210 pounds
This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.
Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds
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