Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A line passes through the points (3,21) and (8,26) Write a linear function rule in terms of x and y for this line.

Sagot :

Answer:

y = x+18

Step-by-step explanation:

I'm not too sure about the terminology but I hope this helps!

In order to find the equation of any line, one can use the equation

m (gradient) = (y1 – y2 ) ÷ (x1 – x2)

(3,21) is the first named point; therefore, 3=x1 and 21=y1

Following the same logic, for the second point, 8=x2 and 26=y2.

Next, substitute these values into the equation above:

m = (21-26)÷(3-8)

m = -5/-5 = 1

Therefore, the gradient of this line is 1. So far our y=mx+c line equation has this information:

y=1x+c

Plugging in x and y values gives the y intercept (c):

21=3+c    (the values from point (8,26) can also be used here)

c = 18

Therefore, the line equation is y = x + 18

As a function, this could be f(x) = x + 18 (although I'm not too sure about this part!)

I hope this helped.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.