SOLUTION: How to you solve using linear models? For example, I do not understand to set up an equation. My math teacher said get to points then find your slope, plug it into point-slope form

Question 788853: How to you solve using linear models? For example, I do not understand to set up an equation. My math teacher said get to points then find your slope, plug it into point-slope form, then plug in your x to find your unknown y. For example this is one of the questions. There are 55 blades of grass in 1 inch of the lawn. There are 230 blades of grass in 4 inches of the same lwn. How many blades of grass are in 3 inches of the lawn?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
EDIT: See SECOND ATTEMPT... also, for more condensed, verified, and with Point-Slope form.

This can give points, (x, y), and may choose x for inches of lawn, y for blades of grass.

Using that format, you assign points, (1,55) and (4,230). A linear equation for these two points can be modeled with y=mx+b, where m is slope and b is y-intercept.

Find b using y-mx=b or b=y-mx for which you pick either point. Let me use (1,55).

----( Now Corrected )

The linear equation which models this blades of grass description is .
Give careful attention to how the variables were assigned. Your question was, how many blades of grass, y, are in 3 inches of lawn, x. This means, what is y when x=3?

(Now Corrected)

______________________________________________________________
SECOND ATTEMPT TO BE SURE
Identifying (x,y) points as Inches of Lawn, Blades of Grass:
(1,55) and (4,230)

Slope

Use Point-Slope form and use (1,55):

Find y when x=3, meaning when Inches of Lawn is 3:

Either OR blades of grass
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