Question

A line passes through the points (20, 2) and (10, 1). What is its equation in slope-intercept

form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

`y = (1)/(10)x`

Explanation:

⭐ What is slope-intercept form?

• 
  `y = mx + b`
• "m" is the slope
• "b" is the y-intercept (the y-value for when x = 0)

First, we need to find the value of "m" using the slope formula.

⭐ What is the slope formula?

• 
  `m = (y_2-y_1)/(x_2-x_1)`
• 
  `(x_1,y_1)` is a coordinate that you are given
• 
  `(x_2,y_2)` is another coordinate that you are given

Substitute the two coordinates you are given into the slope formula.

`m = (1-2)/(10-20)`

`m = (-1)/(-10)`

`m = (1)/(10)`

Substitute the value of "m" into the slope-intercept form equation.

`y = (1)/(10)x + b`

Next, we need to find the value of "b". To do so, substitute a coordinate that you are given into the equation and solve for "b".

I am going to use (10,1), but you can also use (20,2).

`1 = (1)/(10) (10) + b`

`1 = 1 + b`

`0 = b`

Substitute the value of "b" into the slope-intercept form equation.

`y = (1)/(10)x`