A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. What is the catch? There can be at most one output for every input.
Well to find this line you want to know the slope and the y-intercept. So find the slope:
(y2-y1)/(x2-x1)
12-2 = 10
2-7 = -5
10/-5 = 2/-1
-2 is your slope
Now for y-intercept, find the point closest to the y-axis. That is the point (2,12), and if your slope is negative 2, that means that if you go up 4 and left 2, you should find the y-intercept:
12 + 4 = 16
16 is your y-intercept
So now lets write this out in an equation:
y = mx + b
m = slope
b = y-intercept
y = -2x + 16
there you go! hope this helps!
9514 1404 393
Answer:
(5, 1) or maybe (h, k)
Step-by-step explanation:
The given form has no letters other than the variable. The vertex in this vertex-form equation can be read from the expression as (5, 1).
In the generic vertex form ...
f(x) = a(x -h)² +k
the letters (h, k) are used to represent the vertex.
__
You would need to consult your curriculum materials to see what letters your author uses for the vertex in vertex form.
Answer:
The first option
Step-by-step explanation:
The slope m can be calculated using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m = 
= 
The y- intercept is the point on the y- axis where the line crosses, that is - 2
Thus slope = and the y- intercept is - 2
