Note the slope intercept form: y = mx + b, in which m = slope
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides
-3x (+3x) + 6y = (+3x) + 12
6y = 3x + 12
Fully isolate the y. Divide 6 from both sides (and to all terms)
(6y)/6 = (3x + 12)/6
y = (3x)/6 + (12)/6
Simplify
y = (1/2)x + 2
y = 0.5x + 2 is your equation.
The slope is direclty left of the x (or the m variable). In this case, it is 0.5
0.5 is your answer (or 1/2 if wanted in fraction form)
~
(0,2)(-2,0)
slope = (0 - 2) / -2 - 0) = -2/-2 = 1
(0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 1(0) + b
2 = b
equation is : y = x + 2......solid line, means there is an equal sign....shaded below the line means less then....
ur inequality for this line is : y < = x + 2
(0,6)(3,0)
slope = (0 - 6) / (3 - 0) = -6/3 = -2
y = mx + b
slope(m) = -2
(0,6)...x = 0 and y = 6
sub and find b, the y int
6 = -2(0) + b
6 = b
ur equation is : y = -2x + 6....dashed line means there is no equal sign...and shading below the line means less then...
so ur inequality of this line is : y < -2x + 6
In summary, ur 2 inequalities are : y < = x + 2 and y < -2x + 6
Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.
![\begin{tabular} {|c|c|c|c|c|c|} &Frequently&Occassionally&Not at all&Total\\[1ex] Male&227&454&798&1,479\\ Female &205&450&747&1,402\\ Total&432&904&1,545&2,881 \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7Cc%7Cc%7C%7D%0A%20%26Frequently%26Occassionally%26Not%20at%20all%26Total%5C%5C%5B1ex%5D%0AMale%26227%26454%26798%261%2C479%5C%5C%0AFemale%20%26205%26450%26747%261%2C402%5C%5C%0ATotal%26432%26904%261%2C545%262%2C881%0A%5Cend%7Btabular%7D)
Part A:
If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by

Part B:
If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by

Part C:
If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by

Part D:
If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by

Part E:
The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.
Indeed from the table, there are 205 females who are frequently involved in charity work.
Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
Expressions are when they don’t have an equal sign
The choice A will be the correct choice dealing with proportion