How can I solve this math equation? Rearrange the equation into slope y-intercept form, and then identify each slope and y-intercept 2x + 3y - 9 = 0

An equation of a line in the form y = mx + c is said to be
in the slope y-intercept form. In a equation like this, 'm' represents the slope of the
line, and c represent y-intercept of line, which is same as the y coordinate of the line
where it  intercepts the x-axis.

The given equation
is:

2x + 3y - 9 = 0

It can be
converted into the intercept form in the following
steps:

3y = - 2x + 9

y =
(-2/3)x + 9/3

y = (-2/3)x +
3

The above is the equation of line is in slope y-intercept
form. In this equation value of m = -2/3, and value of c =
3.

Therefore:

Slope of the
line = m = -2/3

y-intercept of the line = c =
3