Coordinate Geometry Equation of a Straight Line

Equations of Straight Lines - Lesson

Equations of Horizontal Lines

Horizontal Lines run from left to right. They are flat with zero slope and no x-intercept. However, the have a y-intercept, hence the equation is in the form y = b; where b is the value of the intercept.

Equations of Vertical Lines

Vertical Lines rise from top to bottom. They are have an undefined slope and no y-intercept. However, they have a x-intercept, hence the equation is in the form x = a; where a is the value of the intercept.

Multiple Choice

What is 4y = 5x - 28 in slope-intercept form.

• y = 5/4x - 7

• y = -5/4x - 7

• y = 5/4x - 28

• y = 5x - 8

Multiple Choice

Write the equation y - 13 = x + 14 in slope-intercept form.

• y = x + 27

• y = x - 1

• y = x + 1

• y = x

Multiple Choice

Write the equation y = x - 3 + 10 in slope-intercept form.

• y = x + 7

• y = x + 13

• y = x - 7

• y = x + 14

Multiple Choice

Write -3x + 7y = 14 in slope-intercept form.

• y = 3/7x + 2

• y = 3/7x

• y = 7/3x + 7

• y = 3x - 2

Multiple Choice

Write 12x + 4y = 36 in slope-intercept form.

• y = -3x + 9

• y = 3x + 36

• y = -3x - 3

• y = 3x + 6

Multiple Choice

Pu the equation -4x + 4y = 16 in slope-intercept form

• y = x + 4

• y = -x - 4

• y = 2x - 16

• y = -4x + 16

Multiple Choice

What is 2y + 6x = 24 in slope-intercept form?

• y = -3x + 12

• y = 3x - 12

• y = 2x + 6

• y = -3x - 6

Multiple Choice

Write the equation 3x - 4y = 0 in slope-intercept form.

• y = 3/4x

• y = 4/3x

• y = 1/2x

• y = 3x

Multiple Choice

Write the equation y - 4 = 3x in slope-intercept form.

• y = 3x + 4

• y = 3x - 4

• y = -3x

• y = 7x

Multiple Choice

Put the equation y - x = -1 into slope-intercept form.

• y = x - 1

• y = -x - 1

• y = x

• y = 2x

Multiple Choice

What is the y-intercept of the line: y = -2x + 6

• y

• unknown

• -2

• 6

Multiple Choice

What is the slope of this line: y = 6x + 4

• y

• 4

• 6

• 1/6

Multiple Choice

What is the slope of this line: y = 10

• 10

• Undefined

• 0

• -10

Multiple Choice

What is the slope of this line: y = 10

• 10

• Undefined

• 0

• -10

Multiple Choice

What is the y-intercept of this line: y = 5x

• 5

• 0

• -5

• Not enough information

Multiple Choice

What is the y-intercept of this line: y = 5 - 7x

• 5

• 7

• 1/5

• -7

Multiple Choice

y = 1/2x - 3

The y-intercept is -3.

• True

• False

Multiple Choice

y = -4x - 8

The slope is 4.

• True

• False

Multiple Choice

What is the y-intercept of this line: y = 2/3x - 4

• 2/3x

• 3

• 4

• -4

Multiple Choice

What is the slope of the line: y = -3/4x +2

• -3/4

• -2

• 4

• -2

Multiple Choice

What is the slope of the line: y = -3/4x +2

• -3/4

• -2

• 4

• -2

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

Identify the slope and y intercept in the equation of the line: y = -1/3x + 1

• Slope: 1/3
  y-intercept: 1
• Slope: 1/3
  y-intercept: -1
• Slope: -1/3
  y-intercept: 1
• Slope: -1/3
  y-intercept: 0

Multiple Choice

If a line passes through (0,6) and has a slope of 2, what is the equation for the line?

• y = 2x

• y = 2x + 6

• y = 6x + 2

• y = 2x - 6

Multiple Choice

What is the equation for the line with a slope of 7 and passes through (0,1)?

• y = -7x + 1
• y = 7x + 1
• y = -1/7x - 1
• y = -1/7x + 1

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Multiple Choice

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

• y = 2/3x - 3

• y = 2/3x + 3

• y = -2/3x - 3

• y = -2/3x + 3

Multiple Choice

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

• y = 2/3x - 3

• y = 2/3x + 3

• y = -2/3x - 3

• y = -2/3x + 3