Graphing Linear Equations: y = -x + 1 and y = x + 1

Vocabulary practice flashcards covering tables of values, intercepts, slopes, and coordinate graphing for the linear equations y = -x + 1 and y = x + 1.

Linear Graph of $y = -x + 1$

A straight-line graph with a negative slope of $-1$ and a y-intercept at $(0, 1)$, passing through the plotted coordinates $(-2, 3)$, $(-1, 2)$, $(0, 1)$, $(1, 0)$, $(2, -1)$, and $(3, -2)$.

Linear Graph of $y = x + 1$

A straight-line graph with a positive slope of $1$ and a y-intercept at $(0, 1)$, passing through the plotted coordinates $(-2, -1)$, $(-1, 0)$, $(0, 1)$, $(1, 2)$, $(2, 3)$, and $(3, 4)$.

Table of Values for $y = -x + 1$

The set of ordered pairs generated by the rule $y = -x + 1$ across domain integers from $-2$ to $3$: $(-2, 3)$, $(-1, 2)$, $(0, 1)$, $(1, 0)$, $(2, -1)$, and $(3, -2)$.

Table of Values for $y = x + 1$

The set of ordered pairs generated by the rule $y = x + 1$ across domain integers from $-2$ to $3$: $(-2, -1)$, $(-1, 0)$, $(0, 1)$, $(1, 2)$, $(2, 3)$, and $(3, 4)$.

Shared y-intercept of $y = -x + 1$ and $y = x + 1$

The point $(0, 1)$ where both linear equations cross the vertical y-axis when $x = 0$.

x-intercept of $y = -x + 1$

The coordinate point $(1, 0)$ where the line intersects the horizontal x-axis when $y = 0$.

x-intercept of $y = x + 1$

The coordinate point $(-1, 0)$ where the line intersects the horizontal x-axis when $y = 0$.

Slope of $y = -x + 1$

The rate of change equal to $-1$, which causes the line to decrease from left to right.

Slope of $y = x + 1$

The rate of change equal to $1$, which causes the line to increase from left to right.