y = mx + b, where m = slope, and b = y-intercept.
Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)
y = (4/5)x + b
-3 = (4/5)(-5) + b
-3 = -4 + b
1 = b
Then replace b in the first equation to get the answer
y = (4/5)x + 1
Keep, change, flip
Example: 3/4 divided by 6/8
Step 1: keep 3/4
Step two: change the division sign to a multiplication sign
Step 3: flip 6/8 and make it 8/6
Step 4: multiply it, then that’s your answer to the division problem
Solve for one of the variables in the first equation (in this case, I will solve for X):
X = Y + 3
Then use that value of X in the second equation to solve for Y:
X + 3Y = 9
(Y + 3) + 3Y = 9
4Y + 3 = 9
4Y = 6
Y = 1.5
Use the value of Y we just found in the X equation we created:
X = Y + 3
X = 1.5 + 3
X = 4.5
Therefore X = 4.5 or 9/2 and Y = 1.5 or 3/2.
Answer and Step-by-step explanation:
a) H o : there is no relation between job pressure and age
H 1: there is a relation between job pressure and age
b) See file attached.
c) Test statistic: For the given categorical data, we apply the x² — test Test statistic is 2.19
d) The test statistic value x² = 2.19 < 16.81, we accept the null hypothesis. Therefore, we conclude that there is no relationship between job pressure and age.
Answer: y = 3x-1
Step-by-step explanation: I was never the best at doing this, but here it goes...
first start with the formula Y2-Y1/X2-X1 for this problem, lets say your Y2 is -1, your Y1 is 5, your X2 is 0, and your X1 is 2, making your equation -1-5/0-2 which equals -6/-2, which can be qritten as 3. this is your slope.
now take the equation Y-Y1 = M (X-X1) m is your slope, which is 3 in this case as stated above. your X1 is2, your Y1 is 5. plug this in and you get
y-5 = 3 (x-2) which you put into slope intercept form, which is y = mx + b
your answer should be y = 3x-1