Question

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Select the following options to complete the explanation. These options may be used once, more than once, or not at all.

Options: b, m, two ordered pairs, one set of ordered pairs

Use the two ordered pairs to find the slope, _____.
Then substitute the slope, and _________ into y=mx+b to solve for ____.

Answer 1

See below

Explanation:

We first have to understand the parts of a y=mx+b equation

y=mx+b

m: Is the slope

b: Is the y-intercept

x: is the x part of (x,y)

y: is the y part of(x,y)

So...

if we use an example ordered pair like (1,3)

and a slope of 2

We can plug everything into y=mx+b to get

1=2*3+b which simplifies to b= -5

Now, you can use this concept to fill in the blanks below:

Use the two ordered pairs to find the slope, (m).

Then substitute the slope, and (one set of ordered pairs) into y=mx+b to solve for (b).