$\large\boxed{y-3=3(x+2)}\qquad\text{point-slope form}\\\boxed{y=3x+9}\qquad\text{slope-intercept form}\\\boxed{3x-y=-9}\qquad\text{standard form}\\\boxed{3x-y+9=0}\qquad\text{general form}$

Step-by-step explanation:

The point-slope form of an equation of a line:

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

We have the slope m = 3 and the point (-2, 3). Substitute:

$y-3=3(x-(-2))\\\\y-3=3(x+2)$

the point-slope form

$y-3=3(x+2)$ use the distributive property

$y-3=3x+6$ add 3 to both sides

$y=3x+9$

the slope-intercept form

$y=3x+9$ subtract 3x from both sides

$-3x+y=9$ change the signs

$3x-y=-9$

the standard form

$3x-y=-9$ add 9 to both sides

$3x-y+9=0$

the general form

8 0

4 years ago

A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat th

Anuta_ua [19.1K]

Answer:

207 inches

Step-by-step explanation:

23*9=207

8 0

3 years ago

Read 2 more answers

Help me on this please

DerKrebs [107]

THIS EQUATION IS USING THE PYTHAGOREAN THEOREM
10^2 + x^2 = 14^2
100 + x^2 = 196
-100 -100
x^2 = 96
*SQUARE ROOT*
x = 9.80 (ROUNDED TO THE NEAREST HUNDREDTH)

7 0

3 years ago

Tickets for a play at the community theater cost $8 for children and $20 for adults. A total of 300 tickets have been sold for $

salantis [7]

Answer:

125 adults

175 children

Step-by-step explanation:

3900=8c+20a

300=c+a

c=300-a

substitute

3900=8(300-a)+20a

reduce

3900=2400-8a+20a

1500=12a

a=125 adults

substitute for a

c=300-a

c=300-125

c=175 children

8 0

3 years ago