Question

What equation would go through (-9,-9) and (-6,0)

Answer 1

The equation of line is y = 3 x +18

Explanation:

Given as :

The points are

(
`x_1`,
`y_1`) = (- 9, -9)

(
`x_2`,
`y_2`) = (- 6 , 0)

Let The slope = m

Now, The slope is calculated in points form

So, Slope =
`(y_2-y_1)/(x_2-x_1)`

I.e m =
`(y_2-y_1)/(x_2-x_1)`

or, m =
`(0 - (-9))/(- 6 - (-9))`

or, m =
`(9 )/(3)`

I.e m = 3

So, The slope of points = m = 3

Now, the equation of line in slope - point form can be written as

y -
`y_1` = m ( x -
`x_1` )

where m is the slope of line

i.e y - (-9) = ( 3 ) × ( x - (-9) )

or, y + 9 = 3 × (x + 9)

∴ y + 9 = 3 x + 27

Or, y = 3 x + 27 - 9

O,r y = 3 x + 18

So, The equation of line is y = 3 x + 18

Hence, The equation of line is y = 3 x +18 . Answer