Point-Slope to Slope-Intercept Practice
Authored by Joel Franzen
Mathematics
8th - 9th Grade
CCSS covered
Used 123+ times
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About
This quiz focuses on linear equations, specifically the conversion between point-slope form and slope-intercept form, which represents core algebraic concepts typically taught in grades 8-9. Students must demonstrate proficiency in multiple interconnected skills: identifying slope and y-intercept from equations in slope-intercept form (y = mx + b), writing equations in point-slope form [y - y₁ = m(x - x₁)] when given a slope and point, converting between the two forms through algebraic manipulation, and calculating slope from two points using the slope formula. The problems require students to apply the distributive property, combine like terms, and solve for y to isolate it on one side of the equation. Students also need to interpret linear graphs to identify y-intercepts and understand the geometric meaning of these algebraic representations. These skills build the foundation for more advanced topics in algebra and coordinate geometry. Created by Joel Franzen, a Mathematics teacher in US who teaches grade 8-9. This quiz serves as an excellent tool for reinforcing the fundamental relationship between different forms of linear equations and can be effectively used as guided practice after initial instruction, homework assignments to solidify understanding, or formative assessment to identify areas where students need additional support. The variety of problem types allows teachers to diagnose specific skill gaps, whether students struggle with algebraic manipulation, applying formulas, or connecting graphical and algebraic representations. Teachers can use this quiz as a warm-up activity to activate prior knowledge before moving to more complex applications, or as review material before summative assessments. The content aligns with Common Core standards 8.EE.B.6 and A-CED.A.2, which emphasize deriving and using equations of lines in various forms to model relationships between quantities.
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8 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Convert to slope intercept form:
y - 5 = 3 (x - 2)
y = 3x - 1
y = 3x + 7
y = 3x + 11
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the equation of the line in point-slope form given a slope of -12 and a point of (-4, -5)?
y - 5 = -12(x - 4)
y + 4 = -12(x + 5)
y + 5 = -12(x + 4)
y - 12 = -4(x + 5)
Tags
CCSS.HSA.CED.A.1
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the slope of the equation y = -8x + 6
-8
6
¾
8
Tags
CCSS.8.EE.B.5
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
Tags
CCSS.HSA.CED.A.2
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the y-intercept for the given graph?
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
CCSS.HSS.ID.C.7
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Write in Slope Intercept Form
Slope = 4 Point (-2, 1)
y = 4x +9
y=4x-7
y=4x+7
y=4x-9
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.1
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