Standard Slope Intercept and Point Slope Word Problems

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

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of these represents standard form of a linear equation?

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

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

b= -6; m = -1/4

• y = -1/4x + 6

• y = -1/4x - 6

• y = -1/4x - 8

• y = -1/4x + 8

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)

For the equation 
y - 4 = -1/3(x - 7), 
what are the coordinates for the point?

• (4, 7)
• (-7, - 4)
• (7, 4)
• (-4, -7)

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)

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

• y = 2x + 11
• y = 2x + 1
• y = 2x - 1
• y = 2x - 11