Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Write a function in the form y = mx + b for the line that passes
through the points (2, 4) and (6, 16).

Sagot :

Dwonders2021

Answer:

y = 3x -2

Step-by-step explanation:

crystal3603813

Answer:

y = 3x - 2 (see below)

Step-by-step explanation:

First, you want to find the slope of this line.

The slope formula is:

       y2 - y1

m = -----------

       x2 - x1

Your points are (2, 4) and (6, 16), so plug them in:

       16 - 4

m = -----------

       6 - 2

       12

m = ----- = 3

       4

So slope is 3.

Now, to find the y-intercept (b), you have to use either one of the points and plug in the values into the slope-intercept formula:

y = mx + b

I'll use the point (2, 4):

4 = 3 (2) + b

Simplify for b:

4 = 6 + b

-2 = b

b = -2

Now just plug in your b and m values:

y = 3x - 2

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.