Forms of Linear Equations

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

• y - y₁ = m(x - x₁)
• Ax + By = C
• y = mx + b

What is the equation in Point-Slope form

of the line 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)

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

• y = -3x - 23

• y = -3x - 13

• y = -3x - 11

• y = -3x + 13

Write the following equation in slope intercept form:

y + 9 = 3(x - 1)

• y = 3x + 12

• y = 3x - 12

• y = 3x - 6

• y = 3x + 6

The line with the equation

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

contains the point (5, -1)

and has a slope of _______.

• -1

• 1

• -3

• 5

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)

Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

• y = 3x + 8

• y = 3x + 11

• y = 3x + 1

• y = 3x - 8

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

• y + 7 = -1/4(x - 4)
• y - 4 = -1/4(x + 7)
• y + 7 = 4(x - 4)
• y - 7 = -1/4(x - 4)

Write an equation  
m = 5 through (-1, -3)

• y = 5x + 2
• y = -5x - 5
• y = -5x + 2
• y = 2x - 5

What does the b represent in y=mx+b ?

• slope

• y-intercept