Ewrite the equation 2x + 3y = 6 in slope-intercept form.

So we know that the slope-intercept form of an equation is:

And we are given the equation:

So we need to subtract 2x from both sides:

And then divide both sides by 3:

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)