Mississippi Math FA.F.18
The Standard
Given two points, a graph, a table of values, a mapping diagram, or a real-world context, determine the linear function that models this information. Fluently convert between the point-slope, slope-intercept, and standard form of a line.
2025 Mississippi College- and Career-Readiness Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Find the slope and y-intercept from two points, a graph, a table, a mapping diagram, or a situation. Write the line's equation in point-slope, slope-intercept, and standard form.
What Mastery Looks Like
- Given (1, 4) and (3, 10), a student finds a slope of 3 and writes y = 3x + 1. They rewrite it in the other two forms and check that both points work.
Common Misconceptions
- Students may divide y by x instead of finding the change in y over the change in x. They may use the wrong sign in point-slope form or change the line when rearranging an equation.
How to Assess It
- Exit ticket: Given (2, 3) and (4, 7), write the line in point-slope, slope-intercept, and standard form. Check (4, 7) in each equation.
Lesson moves
Ways to Teach It
Place sticky dots at (1, 2) and (3, 6) on graph paper; connect them, then write the line in three forms.
Ask: A table shows (1, 4) and (3, 10). Why is the slope 3, not 6? Explain in two sentences.
Make cards with tables, graphs, mapping diagrams, and equations; pairs match cards showing the same line and explain each match.
Show a taxi fare of $4 plus $2 per mile; students build a fare table and write the equation in three forms.
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