Point-Slope Form Practice

Choose the point-slope form of the equation of the line through the given point with the given slope.

through (−2, −5)

slope = −5

• $y-5=-5\left(x-2\right)$

• $y+5=-5\left(x+2\right)$

• $y+2=-5\left(x+5\right)$

• $y-5=-5\left(x+2\right)$

Tags

CCSS.HSG.GPE.B.5

Choose the point-slope form of the equation of the line through the given point with the given slope.

through (3, −5)

slope = −3

• $y+5=-3\left(x-3\right)$

• $y-5=-3\left(x+3\right)$

• $y-3=-3\left(x+5\right)$

• $y+3=-3\left(x-5\right)$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Choose the point-slope form of the equation of the line through the given point with the given slope.

through (3, 2)
slope =  $\frac{1}{3}$  

•  $y-2=\frac{1}{3}\left(x-3\right)$  

•  $y-2=\frac{1}{3}\left(x+3\right)$  

•  $y+3=\frac{1}{3}\left(x+2\right)$  

•  $y-3=\frac{1}{3}\left(x-2\right)$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Choose the slope-intercept form of the equation of the line through the given point with the given slope.

through (−2, −5)

slope = −5

• $y=-5x+5$

• $y=-5x-12$

• $y=-5x-15$

• $y=-5x-3$

Tags

CCSS.HSA.CED.A.2

Choose the slope-intercept. form of the equation of the line through the given point with the given slope.

through (3, −5)

slope = −3

• $y=-3x+4$

• $y=-3x+14$

• $y=-3x-14$

• $y=-3x-8$

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

Choose the slope-intercept form of the equation of the line through the given point with the given slope.

through (3, 2)
slope = $\frac{1}{3}$  

•  $y=x+3$  

•  $y=\frac{1}{3}x-1$  

•  $y=\frac{1}{3}x+1$  

•  $y=\frac{1}{3}x-3$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.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)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

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

Tags

CCSS.HSS.ID.C.7

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

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

For the equation 
y - 3 = 2(x + 4), 
what is the ordered pair that the line passes through?

• (-4, 3)
• (3, -4)
• (-3, -4)
• (-4, -3)

Tags

CCSS.HSA.REI.D.10