Question

. 29% a 12:58 PM Wed Jan 27 Jeramiah Patrick's practice 13:06 Y.11 Write a linear equation from two points 8 The points (0, 2) and (2, 10) fall on a particular line. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form. y = xt

Answer 1

EXPLANATION

Given the ordered pairs:

`(x_1,y_1)=(0,2)`
`(x_2,y_2)=(2,10)`

We know that y= mx + b is the slope-intercept form of a line where m is the slope and b is the y-intercept.

Compute the slope:

Slope between two points:

`\text{Slope}=((y_2-y_1))/((x_2-x_1))`

Replacing terms:

`\text{Slope}=\text{ }((10-2))/((2-0))`

Refining:

`\text{Slope}=(8)/(2)=4`

Plug the slope 4 into y=mx + b

y= 4x + b

Plug in (0,2):

2 = 4*0 + b

Isolate b:

2 = b

Construct the line equation y=mx + b where m=4 and b=2

y= 4x + 2