4.2 & 4.3 Review Writing Equations Given Points and Slope

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

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

• y=kx

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 of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

• y - 5 = -3(x - 10)

• y= -3x + 35

• y + 5= -3(x + 10)

• y= -3x - 35

Write the equation in slope-intercept form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

Write the equation of the line in Slope-intercept form that goes through the point (10,5) and has a slope of -3

• y = -3x - 25

• y= -3x + 35
• y = -3x - 5

• y= -3x - 35

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

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

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 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)

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

• -1
• 1
• -3
• 5

Write the linear equation that is solved by both (−6, 2) and (0, 4):

• y = (1/3)x + 4

• y = (-1/3)x + 4

• y = -3x + 4

• y = 3x + 4