Question

Write the following equation in slope-intercept form and identify the slope and y-intercept.

2x+6y=2
The slope of the line is
(Simplify your answer.)
0
point(s) possible
***
The equation in slope-intercept form is y =
(Simplify your answer. Type in the form y=mx+b. Use integers or fractions for any numbers in the expre
The y-intercept of the line is
(Simplify your answer. Type an ordered pair.)
St

Answer 1

The equation 2x+6y=2 can be written in slope-intercept form as y = -1/3x + 1/3. The slope of the line is -1/3 and the y-intercept is (0, 1/3).

Step-by-step explanation:

The given equation is 2x + 6y = 2.

To write the equation in slope-intercept form (y = mx + b), we need to isolate y.

First, let's subtract 2x from both sides of the equation to move the x term to the right side: 6y = -2x + 2.

Next, divide both sides of the equation by 6 to solve for y: y = (-2/6)x + 2/6.

Simplifying further, we get y = -1/3x + 1/3.

Therefore, the equation in slope-intercept form is y = -1/3x + 1/3. The slope of the line is -1/3 and the y-intercept is (0, 1/3).

Learn more about Slope-intercept form of an equation