To transform the equation -2y = 14 - 6x to slope-intercept form, we need to isolate y on one side of the equation.
Starting with -2y = 14 - 6x, we first divide both sides of the equation by -2 to solve for y:
(-2y)/(-2) = (14 - 6x)/(-2)
y = (-14 + 6x)/2
Simplifying the right side of the equation further, we get:
y = -7 + 3x
Therefore, the linear equation -2y = 14 - 6x in slope-intercept form is y = -7 + 3x.
Transform the linear equation -2y = 14 - 6x to slope-intercept form.
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Starting with -2y = 14 - 6x, we can first divide both sides of the equation by -2 to solve for y:
(-2y)/(-2) = (14 - 6x)/(-2)
y = (-14 + 6x)/2
Simplifying the right side of the equation gives:
y = (-14/2) + (6x/2)
y = -7 + 3x
Therefore, the linear equation -2y = 14 - 6x in slope-intercept form is y = 3x - 7.
Starting with -2y = 14 - 6x, we can first divide both sides of the equation by -2 to solve for y:
(-2y)/(-2) = (14 - 6x)/(-2)
y = (-14 + 6x)/2
Simplifying the right side of the equation gives:
y = (-14/2) + (6x/2)
y = -7 + 3x
Therefore, the linear equation -2y = 14 - 6x in slope-intercept form is y = 3x - 7.
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Write 0.4x + 0.2y = 0.6
To write the equation 0.4x + 0.2y = 0.6 in slope-intercept form, we need to solve for y.
First, we subtract 0.4x from both sides of the equation:
0.2y = -0.4x + 0.6
Next, divide both sides of the equation by 0.2:
y = (-0.4/0.2)x + (0.6/0.2)
Simplifying further, we get:
y = -2x + 3
Therefore, the equation 0.4x + 0.2y = 0.6 in slope-intercept form is y = -2x + 3.
First, we subtract 0.4x from both sides of the equation:
0.2y = -0.4x + 0.6
Next, divide both sides of the equation by 0.2:
y = (-0.4/0.2)x + (0.6/0.2)
Simplifying further, we get:
y = -2x + 3
Therefore, the equation 0.4x + 0.2y = 0.6 in slope-intercept form is y = -2x + 3.
Write the linear equation 3y = 6x -18
To write the linear equation 3y = 6x - 18 in slope-intercept form, we need to solve for y.
First, divide both sides of the equation by 3:
3y/3 = (6x - 18)/3
y = (6/3)x - 18/3
Simplifying further, we get:
y = 2x - 6
Therefore, the linear equation 3y = 6x - 18 in slope-intercept form is y = 2x - 6.
First, divide both sides of the equation by 3:
3y/3 = (6x - 18)/3
y = (6/3)x - 18/3
Simplifying further, we get:
y = 2x - 6
Therefore, the linear equation 3y = 6x - 18 in slope-intercept form is y = 2x - 6.
what is the slope and the y- intercept of equation 9 + 27/2x = -3/2y. Write the y-intercept as an ordered pair
To find the slope and y-intercept of the equation 9 + (27/2)x = (-3/2)y, we need to rewrite it in slope-intercept form, which is y = mx + b.
Starting with the given equation, we can rewrite it as follows:
(27/2)x + (3/2)y = -9
To isolate the y-term, we subtract (27/2)x from both sides:
(3/2)y = (-27/2)x - 9
Next, divide both sides of the equation by (3/2) to solve for y:
y = -9 * (2/3) - (27/2) * (2/3)
y = -6 - 18
y = -24
Hence, the slope of the equation is (-27/2) and the y-intercept is -24. Writing the y-intercept as an ordered pair, it is (0, -24).
Starting with the given equation, we can rewrite it as follows:
(27/2)x + (3/2)y = -9
To isolate the y-term, we subtract (27/2)x from both sides:
(3/2)y = (-27/2)x - 9
Next, divide both sides of the equation by (3/2) to solve for y:
y = -9 * (2/3) - (27/2) * (2/3)
y = -6 - 18
y = -24
Hence, the slope of the equation is (-27/2) and the y-intercept is -24. Writing the y-intercept as an ordered pair, it is (0, -24).
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