Standard Form and Point Slope Word Problems

Violet has an Internet business selling paint sets.  After an initial website fee each week, she makes a profit of $0.75 on each set she sells.  If she sells 8 sets and she makes $2.25; write an equation in point-slope form representing her weekly possible earnings.

• y - 2.25 = 0.75(x - 8)

• y - 8 = 0.75(x - 2.25)

• y - 8 = 2.25(x - 0.75)

• y - 0.75 = 2.25(x - 8)

A sign says that 3 tickets cost $22.50 and that 7 tickets cost $52.50. Which equations in point-slope form would represents the cost of tickets? Select all that apply.

• y - 22.50 = 7.50(x - 3)

• y - 52.50 = 7.50(x - 7)

• y = 7.50x

• y + 22.50 = 7.50(x + 3)

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

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

Which of these represents the standard form of a linear equation?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

Which of these represents the 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.
(4, -7); m = -1/4

• y +7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 4 = -1/4(x - 7)

• y - 7 = -1/4(x - 4)

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

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 equation is in point-slope form for the line that contains the point (5, - 1)?

• y - 5 = 1(x + 3)

• y + 5 = 2(x - 1)

• y - 3 = -1(x + 5)

• y + 1 = 2(x - 5)