Draw the graph of the function $y = 4 x + 1$ .

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Solution

$y = 4 x + 1$
$x$ $- 5$ $- 4$ $- 3$ $- 2$ $- 1$ $0$ $1$ $2$ $3$ $4$
$y = 4 x + 1$ $- 19$ $- 15$ $- 11$ $- 7$ $- 3$ $1$ $5$ $9$ $13$ $17$
$1.$ choose the scale to draw the graph along $x -$ axis and $y -$ axis.
$2.$ Plot the points $(- 5, - 19)$ , $(- 4, - 15)$ , $(- 3, - 11)$ , $(- 2, - 7)$ , $(- 1, - 3)$ , $(0, 1)$ , $(1, 5)$ , $(2, 9)$ , $(3, 13)$ and $(4, 17)$
Join all the coordinates
Result:The graph is a straight line.

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$x$	$- 5$	$- 4$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$	$4$
$y = 4 x + 1$	$- 19$	$- 15$	$- 11$	$- 7$	$- 3$	$1$	$5$	$9$	$13$	$17$