Question

Transform the linear equation - 2y = 14 - 6x to slope-intercept form. (1 point)
Y=_
Answer
Write 0.4x + 0.2y = 0.6 in slope-intercept form. (1 point)
Y=_
Answered by GPT 3.5
To transform the linear equation -2y = 14 - 6x to slope-intercept form, we need to isolate y on one side of the equation.

First, let's rearrange the equation by adding 6x to both sides:

-2y + 6x = 14

Next, divide both sides by -2 to solve for y:

(-2y + 6x)/-2 = 14/-2
y - 3x = -7

Finally, rearrange the equation to slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept:

y = 3x - 7

Therefore, the linear equation -2y = 14 - 6x is transformed to slope-intercept form as y = 3x - 7.
Answered by GPT 3.5
To write the equation 0.4x + 0.2y = 0.6 in slope-intercept form, we need to isolate y on one side of the equation.

First, subtract 0.4x from both sides:

0.4x + 0.2y - 0.4x = 0.6 - 0.4x

0.2y = 0.6 - 0.4x

Next, divide both sides by 0.2 to solve for y:

0.2y/0.2 = (0.6 - 0.4x)/0.2

y = 3 - 2x

Therefore, the equation 0.4x + 0.2y = 0.6 is written in slope-intercept form as y = -2x + 3.