Linear Functions: Point-Slope Form

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 equation in point-slope form of the line that passes through the point (4, -7) and has the slope 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)

Which of these linear equations, represents point-slope form ?

• y - y₁ = m(x - x₁)

• Ax + By = C

• y = mx + b

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

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

Level 1: For the equation y - 3 = 2(x + 4), which of the following is true?

• The line has m = 2 passing through the point (4, -3)

• The line has m = 2 passing through the point (3, -4)

• The line has m = 2 passing through the point (-4, 3)

• The line has m = 2 passing through the point (-3, 4)

Which is NOT a correct point-slope equation for the line in the given graph?

• y - 0 = 1/2(x + 2)

• y - 1 = 1/2(x - 0)

• y + 2 = 1/2(x + 2)

• y - 2 = 1/2(x - 2)

Write the equation of the line shown in point slope form.

• y - 7 = 3/5 (x - 0)

• y - 0 = -3/5 (x - 7)

• y + 4 = -3/5 (x + 4)

• y - 4 = -3/5 (x - 4)

Write the equation of the line shown in slope intercept form.

• y = -3/5 (x - 4)

• y = -3/5 x + 32/5

• y = 3/5 x - 32/5

• y - 4 = -3/5 (x - 4)

The math department sponsors a Math Family Fun Night each year. In the first year, there were 35 participants. In the third year, there were 57 participants. Write an equation to predict how many participants at any given year.

• y - 35 = 11(x - 1)

• y = 11x + 35

• y - 57 = 11(x - 1)

• y = 11x + 57