The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
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Answer:

Step-by-step explanation:
We are given the following in the question:
A(1, 1), B(2, 4), C(4, 2)
i) Slope of AB

Thus, slope of AB is 3.
ii) Point slope form
The point slope form of a line can be written as:

The point intercept form of line can be written as:

The line is parallel to AB and contains point C(4, 2). Since line p is parallel to AB, line p will have the same slope as line AB
Putting values, we get,

which is the required slope intercept equation of line p.
60% is your answer. Good luck!!
Answer:
Slope of the line = 2
Step-by-step explanation:
Slope of a line through two points lying on the line
and
is given by,
Slope = 
From the figure attached,
Given line is passing through two points (0, 1) and (1, 3).
Therefore, slope of the line will be,
Slope = 
= 2