Problem preview

F-IF.7.a Warmup M1-025-A02-V03

Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.

Graph a line using intercepts

Problem

Graph \(x~+~2y~=~6\) on the grid using its intercepts. Check both intercepts, then state the slope and line behavior.

Blank coordinate grid with labeled horizontal and vertical axes; no line or intercept points are plotted. — Intercepts show where the line crosses each axis.

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x-intercept check = y=0 ⇒ x=6, so (6,0); y-intercept check = x=0 ⇒ 2y=6 ⇒ y=3, so (0,3); slope = -1/2; graph = decreasing line through both intercepts

intercepts = (6,0),(0,2); slope = -1/3

intercepts = (6,0),(0,3); slope = +1/2; graph = increasing

intercepts = (3,0),(0,6); slope = -2

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Curriculum context

Course: Math I
Standard: F-IF.7.a
Category: Functions
Domain: Interpreting Functions
Objective: Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.
Problem type: Graph a line using intercepts