Respuesta :
The slope intercept form of given equation 2x + 3y = 6 is [tex]y = \frac{-2}{3}x + 2[/tex]
Solution:
Given equation is 2x + 3y = 6
To find: to write the equation in slope intercept form
The equation that describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form
The slope intercept form is given as:
y = mx + b
Where "m" is the slope of line and "b" is the y - intercept
Let us convert the given equation into slope intercept form
2x + 3y = 6
3y = -2x + 6
On dividing the above equation by 3,
[tex]y = \frac{-2x}{3} + \frac{6}{3}\\\\y = \frac{-2}{3}x + 2[/tex]
Thus the slope intercept form of given equation is [tex]y = \frac{-2}{3}x + 2[/tex]
