Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Type the equation that shows the pattern among this set of ordered pairs.
(0, 3), (1, 5), (2, 7), (3, 9)


Sagot :

TSO
First find the slope between any two points:

[tex]\sf Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where [tex]\sf (x_1,y_1),(x_2,y_2)[/tex] are the two points

So calculating the slope:

[tex]\sf Slope=\frac{7-5}{2-1}=\frac{2}{1}=2[/tex]

So the slope is [tex]\boxed{2}[/tex]

And our equation will be in the format of [tex]\sf y=mx+b[/tex]
where [tex]\sf m~ is~ the ~slope[/tex] and [tex]\sf b ~is~the~y-intercept[/tex]

So, now we have half of the equation:

[tex]\sf y= 2x+b[/tex]

Now to calculate b, we can plug in a point [tex]\sf (x,y)[/tex] and solve for b.

So

[tex]\sf y= 2x+b[/tex]

Lets use the point
[tex]\sf (1,5) which ~is~in~the~form ~of ~(x,y)[/tex]

So:
[tex]\sf 5=2(1)+b[/tex]

And then:
[tex]\sf b=3[/tex]

So our final equation is [tex]\sf \boxed{y=2x+3}[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.