Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
Here is the answer below:
We can begin by rewriting the sentence in a more convenient way:
"If I don't eat too much, I'll exercise."
The phrase speaks about an action (exercise) that is going to be done provided a condition is fulfilled (don't eat too much) This is a conditional.
p = I eat too much
~p = I don't eat too much.
Then, if ~p happens, then q will happen
We can write this as
~p->q
With this, the correct answer is option D.