Solve and graph y = 5x - 6.

The given expression of the function f(x)
= y=mx+n represents a linear function, so it's graph is a straight
line.

In order to build the graph, you have to plug in
values for x, and find the values for y.

For drawing the
the graph, it's necessary to get two points. That means having 4 coordinates. You know
that a point is defined by its coordinate
(x,y).

y=5x-6

We'll put x =
0.

y = 5*0 -6

y =
-6

The point has the following coordinates:
(0,-6)

We'll put x = -1

y =
5*(-1) -6=-5-6=-11

The point has the following coordinates:
(-1,-11)

Now, in order to draw the graph, we'll draw x,y
rectangular system of axis. 0x is perpendicular to
0y.

We'll take an unit of measure (for example, if you're
working on a math sheet, a unit of measure could be the square from the
page)

The negative values, on x axis, are on the left side
of the origin and the positive values are on the right side. In the middle of the axis
is origin, which has coordinates (0,0) where the two axes
cross.

The positive values on the y axis are above the
origin, and negative values are below origin.

For the point
(-1,-11), we'll number 1 square on the left side of origin and we'll number 11 squares
below origin.

Another way to draw the graph of the line is
to calculate the x and y intercepts.

We'll put x = 0 for y
intercept.

f(0) = 6

The
resulted point has the coordinates: (0,6).

We'll put y = 0
for x intercept.

f(x) = 0

5x -
6 = 0

5x = 6

x =
6/5

The resulted point has the coordinates:
(6/5,0).