Point-Slope Form

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

 $-$  Write the equation in point - slope form that passes through the point (4, -7) and has a slope of -1/4.

•  $y\ +\ 7\ =\ -\frac{1}{4}\left(x\ -\ 4\right)$ 

•  $y\ -4\ =\ -\frac{1}{4}\left(x\ +\ 7\right)$  

•  $y\ +\ 7\ =\ 4\left(x\ -\ 4\right)$ 

•  $y\ -\ 7\ =\ -\frac{1}{4}\left(x\ -\ 4\right)$  

Wrtie the equation in slope-intercept form that passes through (10, 5) and has a slope of -3.

 $\$  

• y - 5 = -3(x - 10)

• y= -3x + 35

• y + 5= -3(x + 10)

• y= -3x - 35

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

First Step: Do the distributive property.

Second Step: Move the +5 to the other side of the equation.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Which of these represents point-slope form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

• y=kx

 $\$ What is the equation in point-slope form that goes through the point (6,1) and has a slope of -3.

• y - 6 = -3(x - 1)

• y + 6 = -3(x + 1)

• y - 1 = -3(x - 6)

• y + 1 = -3(x + 3)

Write an equation

m = 5 through (-1, -3)

• y + 3 = 5(x + 1)

• y + 1 = -5(x - 5)

• y - 3 = -5(x - 1)

• y + 1 = 5(x + 3)

What is the equation of the line y - 2 = 4(x + 2) in slope intercept form?

(First step: Distributive Property)

(Second step: Move the +5 to the other side of the equation)

• y = 4x - 10

• y = 4x + 8

• y = 4x + 2

• y = 4x + 10

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

• (-4, 3)
• (3, -4)
• (-3, -4)
• (-4, -3)

 $\$  

For the equation y - 4 = -1/3(x - 7) what are the coordinates for the point.

• (4, 7)

• (-7, - 4)

• (7, 4)

• (-4, -7)