Question

Write the equation that passes through the following points:

(5,0) and (−10,−5)

Answer 1

The answer is:

`y = (1)/(3) x - (5)/(3)`

Explanation:

❃Incase you forgot what the linear equation formula is ☟

`y = mx + b`

❃Incase you also forgot, The is what the slope formula is ☟

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

➊ First: We are going to be solving for the slope.

`m = ( - 5 - 0)/( - 10 - 5) = ( - 5)/( - 15) = (1)/(3)`

➋Second: We find the y-intercept.

`y = mx + b \\ 0 = (1)/(3) (5) + b \\ 0 = (5)/(3) + b \\ ( - (5)/(3) = - (5)/(3 ) \: \: \: \: \: \: \: \: \: \: \: \: )/( - (5)/(3) = b)`

➌Third: Plug in.

`y = (1)/(3) x - (5)/(3)`