Question

Write the equation of the line passes through the given points (0,-2) and (-9,-7)

what is the equation?

Answer 1

`y= (5)/(9)x - 2`

Explanation:

Let's write the equation in the slope-intercept form! In the slope-intercept form, y= mx +c, m is the slope and c is the y-intercept.

`\textcolor{blueviolet}{\text{\textcircled{1} Find \: the \: slope}}`

`\boxed{ slope = (y _(1) - y_2 )/(x_1 - x_2) }`

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

`= ( - 2 - ( - 7))/(0 - ( - 9))`

`= ( - 2 + 7)/(0 + 9)`

`= (5)/(9)`

`\textcolor{blueviolet}{\text{\textcircled{2} Substitute \: value \: of \: slope}}`

`y = (5)/(9) x + c`

`\textcolor{blueviolet}{\text{\textcircled{3} Substitute \: a \: pair \: of \: coordinates}}`

When x= 0, y= -2,

`- 2 = (5)/(9) (0) + c`

c= -2

`\textcolor{blueviolet}{\text{\textcircled{4} Substitute \: value \: of \: c}}`

`\bf y= (5)/(9)x - 2`