Mississippi Math FA.F.17
The Standard
Create and graph the equation of a linear function given the rate of change and y-intercept. Compare and contrast up to three linear functions written in various forms (i.e., point-slope, slope-intercept, standard form).
2025 Mississippi College- and Career-Readiness Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Use a given slope and y-intercept to write an equation and graph its line. Find slopes and y-intercepts in point-slope, slope-intercept, and standard form so they can compare up to three lines.
What Mastery Looks Like
- Given a slope of -2 and a y-intercept of 4, a student writes y = -2x + 4 and draws a line through (0, 4) and (1, 2). They can tell whether differently written equations make the same line, parallel lines, or lines with different slopes.
Common Misconceptions
- Students may mistake the 3 in y - 3 = 2(x - 1) for the y-intercept, though (1, 3) is a point on the line. They may read the slope of 2x + y = 5 as 2 instead of -2.
How to Assess It
- Exit ticket: A line has slope -2 and y-intercept 4. Write and graph its equation, then identify which of y + 2 = -2(x - 3) and 2x + y = 1 makes the same line and explain how the other differs.
Lesson moves
Ways to Teach It
On graph paper, plot (0, 3), move up 2 and right 1, then use a ruler to draw y = 2x + 3.
Compare y = 2x + 1, y - 3 = 2(x - 1), and 2x + y = 5. Which lines match, and how does the third differ?
Give pairs cards labeled y = 2x + 1, y - 3 = 2(x - 1), and 2x - y = 4; they sort matching and parallel lines.
Graph two taxi fares that cost $2 per mile, with starting fees of $4 and $1, then explain why their lines never meet.
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Printable FA.F.17 Worksheet
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