Question

Show how you found the slope and y-intercept

Answer 1

Slope:
`(5)/(2)`

y-intercept: 0

Explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) =
`(y_2 - y_1)/(x_2 - x_1)`

Plug in the corresponding numbers to the corresponding variables:

slope (m) =
`(10 - 5)/(4 - 2)` =
`(5)/(2)`

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

`y = (5)/(2) x + b`

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

`5 = (5)/(2)(2) + b`

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

`5 = (5)/(2)(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0`

Y-intercept: 0