Respuesta :
Answer:
y=2x-46
Step-by-step explanation:
Select any two coordinate points. I'm picking (1,-44) and (2, -42).
x1 and y1 are the first coordinates. x2 and y2 are the second coordinates. The formula for finding the slope of a linear fuction is (y2-y1)/(x2-x1). Substiute the numbers into this formula:
-42-(-44)/2-1
=-42+44/1
=2
This is the slope. In y=mx+b, plug in your newly found slope. Next, to find the y-intercept, plug any pair of coordinate points into your incomplete formula y=2x+b. I'm going to use (1,-44) again.
-44=2(1)+b
-44=2+b
b=-46
Now, plug this into your formula, and you'll get y=2x-46.
We use the general equation y = ax + b.
Then by using 2 values of given x and y we calculate a and b by solving linear equations.
Suppose given
y x
2 1
4 3
Then 2=a+ b
4= 3a+ b
Solving a = 1 and b= 1
Thus y=x+ 1
Then by using 2 values of given x and y we calculate a and b by solving linear equations.
Suppose given
y x
2 1
4 3
Then 2=a+ b
4= 3a+ b
Solving a = 1 and b= 1
Thus y=x+ 1