Transform the linear equation - 2y = 14 - 6x to slope-intercept form.
To transform the linear equation -2y = 14 - 6x to slope-intercept form, we need to solve for y.
First, divide both sides of the equation by -2 to isolate y:
-2y = 14 - 6x
Dividing both sides by -2:
y = (14 - 6x)/-2
Simplifying:
y = -7 + 3x
The equation is now in slope-intercept form, y = mx + b, where m is the slope (3 in this case) and b is the y-intercept (-7 in this case).
Transform the linear equation - 2y = 14 - 6x to slope-intercept form.
y =__
To transform the linear equation -2y = 14 - 6x to slope-intercept form, we need to solve for y.
First, divide both sides of the equation by -2 to isolate y:
-2y = 14 - 6x
Dividing both sides by -2:
y = (14 - 6x)/-2
Simplifying:
y = -7 + 3x
Therefore, the equation in slope-intercept form is:
y = 3x - 7
Write 0.4x + 0.2y = 0.6 in slope-intercept form.
y =__
To write the equation 0.4x + 0.2y = 0.6 in slope-intercept form, we need to solve for y.
First, subtract 0.4x from both sides:
0.2y = -0.4x + 0.6
Next, divide both sides by 0.2:
y = (-0.4/0.2)x + (0.6/0.2)
Simplifying:
y = -2x + 3
Therefore, the equation in slope-intercept form is:
y = -2x + 3
Write the linear equation 3y = 6x - 18 in slope-intercept form.
__
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 to isolate y:
3y = 6x - 18
Dividing both sides by 3:
y = (6x - 18)/3
Simplifying:
y = 2x - 6
Therefore, the equation in slope-intercept form is:
y = 2x - 6
What is the slope and the y-intercept of the equation 9 + 27/2x = -3/2y. Write the y-intercept as an ordered pair.
The slope is __. The y-intercept is (__).
To find the slope and the y-intercept of the equation 9 + 27/2x = -3/2y, we need to rearrange it in the slope-intercept form, which is y = mx + b.
First, let's isolate y:
9 + (27/2)x = (-3/2)y
Divide both sides by (-3/2):
(-2/3)(9 + (27/2)x) = y
Multiplying (-2/3) by each term inside the parentheses:
y = -6 - (27/3)x
Simplifying further:
y = -6 - 9x
Comparing it to the slope-intercept form, we can see that the slope (m) is -9 and the y-intercept (b) is -6.
Therefore, the slope is -9 and the y-intercept is (-6, 0).