Transform the linear equation - 2y = 14 - 6x to slope-intercept form. (1 point)
Y=_
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.
Write 0.4x + 0.2y = 0.6 in slope-intercept form. (1 point)
Y=_
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.
To transform the linear equation -2y = 14 - 6x to slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, follow the steps below:
Step 1: Start with the given equation: -2y = 14 - 6x
Step 2: Divide both sides of the equation by -2 to isolate the y variable:
y = (14 - 6x) / -2
Step 3: Simplify the right side of the equation:
y = -7 + 3x
The slope-intercept form of the linear equation -2y = 14 - 6x is y = -7 + 3x.
To transform the linear equation -2y = 14 - 6x into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
Step 1: Simplify the equation
To simplify the equation, you need to move the variable term (-2y) to the left side of the equation and the constant term (14 - 6x) to the right side. To do this, add 2y to both sides of the equation:
-2y + 2y = 14 - 6x + 2y
Simplifying gives us:
0 = 14 - 6x + 2y
Step 2: Rearrange the equation
To isolate the y term, rearrange the terms in the equation so that the y term is on the left side:
2y = -6x + 14
Step 3: Solve for y
To solve for y, divide each term by 2:
2y/2 = (-6x + 14)/2
Simplifying gives us:
y = -3x + 7
Therefore, the linear equation -2y = 14 - 6x can be transformed into slope-intercept form as y = -3x + 7.