Plot the graph using dual intercept methods. (1) y = x+3 (2) y = x−3

Question

ScanSolve AI Tutor · Accepted Answer

To plot a graph using the dual intercept method, we find the points where the line crosses the x-axis (x-intercept) and the y-axis (y-intercept).

For $y = x + 3$ :

Find the y-intercept.
Set $x = 0$ in the equation:
$y = 0 + 3$ $y = 3$
The y-intercept is $\boxed{(0, 3)}$ .
Find the x-intercept.
Set $y = 0$ in the equation:
$0 = x + 3$ $x = -3$
The x-intercept is $\boxed{(-3, 0)}$ .
To plot $y = x + 3$ , you would mark the points $(0, 3)$ and $(-3, 0)$ on a coordinate plane and draw a straight line through them.

For $y = x - 3$ :
Find the y-intercept.
Set $x = 0$ in the equation:
$y = 0 - 3$ $y = -3$
The y-intercept is $\boxed{(0, -3)}$ .
Find the x-intercept.
Set $y = 0$ in the equation:
$0 = x - 3$ $x = 3$
The x-intercept is $\boxed{(3, 0)}$ .
To plot $y = x - 3$ , you would mark the points $(0, -3)$ and $(3, 0)$ on a coordinate plane and draw a straight line through them.

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