Question

Which of the following equations is 2x + 3y = 6 written in slope-intercept form.

oy--(2/3)x + 6
y=-2/3)x+ 2
y=-(3/2)x+ 2

Answer 1

The slope intercept form of given equation 2x + 3y = 6 is
`y = (-2)/(3)x + 2`

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,

`y = (-2x)/(3) + (6)/(3)\\\\y = (-2)/(3)x + 2`

Thus the slope intercept form of given equation is
`y = (-2)/(3)x + 2`