Answer:
(0,7)
Step-by-step explanation:
For a set of ordered pairs to be a function, there needs to be "ONE" value of y for each unique x value.
Thus, we see that the 3 ordered pairs given have x values of 0, 2, and 3.
Now, we look in the answer choices and find which ones are 0, 2, or 3 in x-coordinate.
That would be only (0,7). Now the original set has x = 0 corresponding to y = 1
Is that true for (0,7)?? NO!
x = 0 will now correspond to "TWO" values of y.
THis will make this NOT A FUNCTION.
So, (0,7) is correct.
Answer:
y= (3/2)x-3
Step-by-step explanation:
We need two points to find the equation of a line. Let's take (2,0) and (4, 3).
In the equation y=mx+b, m represents the slope. To find the slope, we can calculate the change in y/change in x. For (2,0) and (4,3), the change in y is 3-0=3 and the change in x is 4-2=2. Therefore, our slope is 3/2.
Then, in the equation y=mx+b, we can plug 3/2 in for m to get y = (3/2)x+b. To find b, we can plug one point in, such as (2.0), to get 0=(3/2)(2) + b, 0=3+b, and b=-3, making our equation
y= (3/2)x-3
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Option (4)
Step-by-step explanation:
Equation of a line passing through a point 
and with slope 'm' is,
y - y₁ = m(x - x₁)
Given → Slope 'm' = -2
Point through which the line is passing is (-1, -2)
x₁ = -1 and y₁ = -2
Therefore, equation will be,
y + 2 = -2(x + 1)
y = -2x - 2 - 2
y = -2x - 4
Option (4) is the correct option.
