Question

Graph the line with slope 3 passing through the point( 2,3) .

Answer 1

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

Slope of line =3

The line passes through the point (2,3)

To graph the line.

Solution:

In order to graph the line, we will first find the equation of the line.

Using point slope equation of line:

$y-y_1=m(x-x_1)$

where $m$ represents slope of line and $(x_1,y_1)$ represents the point on the line.

Plugging in the slope and the point given in the equation.

$y-3=3(x-2)$

Using distribution.

$y-3=3x-6$

Adding 3 both sides.

$y-3+3=3x-6+3$

$y=3x-3$

Thus, we can graph the equation of the line.

When $x=0$

$y=3(0)-3$

$y=-3$

Point (0,-3)

We have two points (2,3) and (0,-3) to graph the line.