Free Printable WorksheetMathGeometryMath CurriculumG-GPE.B.5

GEO.147 Write an equation of a line from a point and slope Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.147 Write an equation of a line from a point and slope. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.147 Write an equation of a line from a point and slope - Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.5. Skill statement in this prompt cell: Select the correct equation of a line that has a given slope and passes through a given point. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.5; FL MA.912.GR.3.3; MA G-GPE.B.5; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.147 Write an equation of a line from a point and slope skill assessments:

Problem 1Difficulty: Mastery
A final coordinate-geometry check uses slope 13/6 and point (-12, -8). Which equation represents the line?
Ay = (13/6)x - 34
By = -(13/6)x - 34
Cy = (13/6)x + 18
Dy = (13/6)x + 19
Solution & Explanation:Substitute the point (-12, -8) and slope 13/6 into y = mx + b: -8 = 13/6(-12) + b, so b = 18. The equation is y = (13/6)x + 18.
Problem 2Difficulty: Mastery
A graph shows a line through (10, 4) and a slope triangle with fall 9 and run 6. Which equation represents the line?
Ay = -(3/2)x + 19
By = -(3/2)x - 11
Cy = (3/2)x - 11
Dy = -(3/2)x + 20
Solution & Explanation:Substitute the point (10, 4) and slope -3/2 into y = mx + b: 4 = -3/2(10) + b, so b = 19. The equation is y = -(3/2)x + 19.
Problem 3Difficulty: Mastery
Which standard-form equation represents a line with slope -8/3 through (-6, 1)?
A8x + 3y = -42
B8x + 3y = -45
C8x + 3y = -48
D8x + 3y = -39
Solution & Explanation:First find b from y = mx + b using (-6, 1): b = -15. Rewriting y = -8/3x plus that intercept in standard form gives 8x + 3y = -45.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-GPE.B.5 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GPE.B.5. Skill statement in this prompt cell: Select the correct equation of a line that has a given slope and passes through a given point. Associated standards listed with this skill in the curriculum source: CCSS G-GPE.B.5; FL MA.912.GR.3.3; MA G-GPE.B.5; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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