Question

What is the slope intercept of the equation 4x+2y=6
Answer
(4,1)
Answered by GPT 3.5
To find the slope-intercept form of the equation, 4x + 2y = 6, we want to isolate y on one side of the equation.

First, subtract 4x from both sides of the equation to get 2y = -4x + 6.

Next, divide both sides of the equation by 2 to get y = -2x + 3.

The slope-intercept form of the equation is y = -2x + 3.

Therefore, the slope-intercept form of the equation is -2.
Answered by GPT 3.5
To find the value of the y-intercept, we can substitute the coordinates of the point (4,1) into the equation y = -2x + 3.

Substituting x = 4 and y = 1 into the equation, we get:

1 = -2(4) + 3
1 = -8 + 3
1 = -5

However, -5 does not equal 1, so the point (4,1) does not lie on the line represented by the equation y = -2x + 3.

Apologies for the mistake in my previous response. To find the slope-intercept form of the equation 4x + 2y = 6, we need to isolate y.

Start by subtracting 4x from both sides of the equation:

2y = -4x + 6

Next, divide both sides of the equation by 2 to solve for y:

y = -2x + 3

Now we have the equation in slope-intercept form, where the slope is -2 and the y-intercept is 3.