Find the slope of the line given the following points: (-4,-5) and (0,6).
To solve this equation, you will need to use the formula (y2-y1)/(x2-x1). First, you will need to pick which point you would like to assign to (x1,y1) and (x2,y2) --> In this question, let's say that (-4,-5) is (x1,y1) and (0,6) is (x2,y2). Then, substitute your points in the formula. --> (6-(-5))/((0-(-4)) = 11/4 Therefore, your slope in the end is a positive 11/4
If Rebecca receives a 90, 85, and 94 on 3 tests in her math class, what is her average for the class?
To find the average, you will need to use the average formula, in which you will need to find the sum of the numbers and divide it by how many numbers there are. In this scenario, you add 90, 85, and 92 to get a sum of 267 and divide this number by how many numbers there are, which is 3. 267/3 is 89. Therefore, Rebecca's average of the 3 test scores is 89.
Solve for x. 2x - 8 = 5x +16
To solve for x, you will need to isolate the variable. First, to get the variable x on its own, subtract 5x from both sides of the equation. You will be left with -3x - 8 = 16. Then, add the constant, the number without the x, to both sides of the equation. Therefore, you will be left with -3x = 24 Finally, divide both sides of the equation by the coefficient, which is -3 in this problem. In solving for x, we arrive at the number x = -8. To see if your answer is correct, plug in your answer for x into the equation. Because 2(-8)-8 =5(-8)+16 (-24=--24), we know that our answer is correct.