Practice: Writing Linear Equations in point- slope form

Write the equation of the line in point-slope form by using the given point.

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

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

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 the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3

• y + 1 = -3(x - 2)
• y + 1 = -3(x + 2)
• y - 1 = 3(x - 1)
• y + 2 = -3(x + 1)

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, 0); m = 7

• y - 4 = 7(x + 0)

• y - 0 = 7(x - 4)

• y = 7x + 4

• y = 7x + 0

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

• -1
• 1
• -3
• 5

What two things do you NEED to write an equation in point-slope form?

• a slope and a y-intercept

• a slope and a x-intercept

• a slope and a point

• two points on the line

What is the point given in the following equation?
y-2= 3(x+1)

• (1,3)
• (-1,2)
• (1,-2)
• (-2,1)

Write the point-slope form of the equation of each line given the slope and y-intercept.

Slope = -2/3 ; y-intercept = -4

• y - 4 = 2/3x

• y = -2/3 (x - 4)

• y - 4 = 3/2x

• None of these

Write the point-slope form of the equation of each line given the slope and y-intercept.

Slope = 3/2 ; y-intercept = 1

• y = -5/2 (x + 1)

• y - 1 = -x

• y = -(x - 1)

• y + 1 = 3/2 x