Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)
<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>
where two points that fall on the line are
and 
On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

Therefore, the slope of the line is 3. Plug this into
:

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into
:

I hope this helps!
250-3m
m represents months
Not an equation but an expression since I don’t know the number of months he was on the diet.
Answer:
y=2x-6
Step-by-step explanation:
y+4=2(x-1)
Subtract 4 to both sides of the equation:
y+4-4=2(x-1)-4
y=2(x-1)-4
Distribute the 2:
y=2x-2-4
y=2x-6
Where 2 is the slope and -6 is the y - intercept.
Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.
Add 1.5x to both sides, so as to make the coefficient of x positive:
27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6
Check: let x = -6. Is the given equation then true?
27 = 36 + 1.5(-6) => -9 = -9? Yes.
Check: let x > -6. Is <span>Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.
Thus, x is equal to or greater than -6.</span>