Question

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

Answer 1

Answer:

The equation of line is y = 3 x +18

Step-by-step 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 = $\dfrac{y_2-y_1}{x_2-x_1}$

I.e m = $\dfrac{y_2-y_1}{x_2-x_1}$

or, m = $\dfrac{0 - (-9)}{- 6 - (-9)}$

or, m = $\dfrac{9 }{3}$

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