4.3 Equation of a Line

Consider the equations below.  What is the best description of these lines?
 $y=-\frac{1}{3}x+4$  

 $y=3x+1$  

• parallel

• perpendicular

• intersecting

Write an equation in point-slope form for a line perpendicular to  $y=-5x+3$   and that passes through the point (-5, -4).

•  $y=-5x-29$  
  

•  $y=\frac{1}{5}x+3$  
  

•  $y=\frac{1}{5}x-3$  
  

•  $y=-5x+1$  

Write an equation of a line in point-slope form that passes through the point (3, 4) and is parallel to the line  $y=6x+2$  .

•  $y=6x+14$  
  

•  $y=6x-14$  
  

•  $y=-\frac{1}{6}x+\frac{9}{2}$  
  

•  $y=-6x+22$  
  

What is y = -4x + 10 standard form?

• 4x+y =10

• -4x+y =10

• 4x+y =-10

• -4x -y =10

What is the equation of 6x- 3y = 12 in slope intercept form?

• y = -2x+2

• y = 2x +2

• y = 2x -2

• y = 2x + 2

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

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

• y=kx

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

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

• y=kx

Which of these represents standard form of a linear equation?

• y - y₁ = m(x-x₁)

• Ax + By = C

• y = mx + b

• y=kx

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

• y - 3 = 1(x - 2)

• y + 3 = 1(x + 2)

• y -3 = -1(x + 2)

• y + 3 = -1(x - 2)

Find the x and y intercepts
4x - 5y = 40

• x intercept is 10 
  y intercept is 8

• x intercept is 10
  y intercept is 20

• x intercept is 8
  y intercept is 10

• x intercept is 10
  y intercept is -8