A line with a slope of 3 passes through the points (-8,f) and (-9,7). What is the value of f

Step-by-step explanation:

Slope can be calculated by:

We know M, y1, x2, and x1. We want to calculate for y2

f = 10

Step-by-step explanation: Start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

Plugging the given information into the

slope formula, we get 3 = 7 - f / -9 - (-8).

This simplifies to 3 = 7 - f / -1.

Multiply both sides of the equation by -1 to get -3 = 7 - f.

Solving from here, you be should be able to easily find that 10 = f.

Remember, it's very easy to check your

answer to these kinds of problems.

Since 10 = f, you can plug a 10 back in for f in the original problem.

Then check to see if the line that passes through the points

(-8, 10) and (-9, 7) really does have a slope of 3.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42