Question

Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis. Use exact numbers. Y=

Answer 1

3x+18

Explanation:

Let's find the slope:

Slope

=

0

−

(

−

9

)

−

6

−

(

−

9

)

=

9

3

=

3

Slope

​

=

−6−(−9)

0−(−9)

​

=

3

9

​

=3

​

The equation is

y

=

3

x

+

b

y=3x+by, equals, 3, x, plus, b for some

b

bb.

Hint #22 / 3

Let's plug the point

(

−

6

,

0

)

(−6,0)left parenthesis, start color #11accd, minus, 6, end color #11accd, comma, start color #ed5fa6, 0, end color #ed5fa6, right parenthesis to find

b

bb:

y

=

3

x

+

b

0

=

3

(

−

6

)

+

b

0

=

−

18

+

b

18

=

b

y

0

0

18

​

=3x+b

=3(−6)+b

=−18+b

=b

​

Hint #33 / 3

The equation is

y

=

3

x

+

18

y=3x+18y, equals, 3, x, plus, 18.

Answer 2

The equation of the line is;

y = 3x + 18

Explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18