The point slope formula is y - y1 = m(x - x1)
the value x1 is the x coordinate of a point
the value y1 is the y coordinate of a point
the value m is the slope, which is 3
therefore, x1 = -2 & y1 = 1
Then, all you do is plug in the points:
y - 1 = 3(x + 2)
NOTE: It is 3(x + 2) instead of 3(x - 2) because the formula is (x - x1). If you plug x1 in, it is (x - (-2)). 2 negatives cancel out to be a positive, so it is (x + 2)
Answer:
slope = -3
Step-by-step explanation:
1) Rearrange eqn into slope intercept form
slope intercept form: y = mx + b
where...
m = the slope
b = the y-intercept (where the line crosses the y axis)
3x + y = 12
y = -3x+12
2) Know parallel rule. A line that runs parallel has the same slope but a different y-intercept
So the slope is: -3
Answer:
The horizontal asymptote for the function f(x) is 1/2
Step-by-step explanation:
<u>We were given the function</u>

which could be <u>simplified</u> as

this means that the function is a constant of value 1/2 for all value of x.
Then, in particular, <u>the value of f will be 1/2 for x when x tends to infinite and minus infinite</u>.
And because to find the horizontal asymptote of a function we have to calculate the limit of the function when x tends to infinite or minus infinite, we can ensure that <em>this asymptote has also the value 1/2 of f</em>.