Slope-Intercept Form Practice
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Question
Transform the linear equation −2y=14−6x to slope-intercept form.(1 point)
y=
11 answers
3x - 7
?
To transform the linear equation −2y = 14 − 6x to slope-intercept form, you need to solve for y.
First, divide both sides of the equation by -2 to isolate y:
-2y = 14 - 6x
y = (14 - 6x)/-2
Next, simplify the right side of the equation:
y = -7 + 3x
Therefore, the equation in slope-intercept form is y = 3x - 7.
First, divide both sides of the equation by -2 to isolate y:
-2y = 14 - 6x
y = (14 - 6x)/-2
Next, simplify the right side of the equation:
y = -7 + 3x
Therefore, the equation in slope-intercept form is y = 3x - 7.
write 0.4x + 0.2y = 0.4 in slope-intercept form.
To write the equation 0.4x + 0.2y = 0.4 in slope-intercept form, we need to isolate y.
First, subtract 0.4x from both sides of the equation:
0.2y = -0.4x + 0.4
Next, divide both sides of the equation by 0.2 to solve for y:
y = (-0.4x + 0.4)/0.2
Simplifying the right side of the equation:
y = -2x + 2
Therefore, the equation in slope-intercept form is y = -2x + 2.
First, subtract 0.4x from both sides of the equation:
0.2y = -0.4x + 0.4
Next, divide both sides of the equation by 0.2 to solve for y:
y = (-0.4x + 0.4)/0.2
Simplifying the right side of the equation:
y = -2x + 2
Therefore, the equation in slope-intercept form is y = -2x + 2.
no
I apologize for the mistake in my previous response. Let's correct the equation:
To write the equation 0.4x + 0.2y = 0.4 in slope-intercept form, we need to isolate y by subtracting 0.4x from both sides of the equation:
0.2y = -0.4x + 0.4
Now, divide both sides of the equation by 0.2:
y = (-0.4x + 0.4) / 0.2
Simplify the right side of the equation:
y = -2x + 2
Therefore, the equation in slope-intercept form is y = -2x + 2.
To write the equation 0.4x + 0.2y = 0.4 in slope-intercept form, we need to isolate y by subtracting 0.4x from both sides of the equation:
0.2y = -0.4x + 0.4
Now, divide both sides of the equation by 0.2:
y = (-0.4x + 0.4) / 0.2
Simplify the right side of the equation:
y = -2x + 2
Therefore, the equation in slope-intercept form is y = -2x + 2.
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 isolate y.
First, divide both sides of the equation by 3 to solve for y:
y = (6x - 18)/3
Next, simplify the right side of the equation:
y = 2x - 6
Therefore, the equation in slope-intercept form is y = 2x - 6.
First, divide both sides of the equation by 3 to solve for y:
y = (6x - 18)/3
Next, simplify the right side of the equation:
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+272x=−32y. Write the y-intercept as an ordered pair.(1 point)
The slope is ?. The y-intercept is (?).
The slope is ?. The y-intercept is (?).
To find the slope and the y-intercept of the equation 9 + 272x = -32y, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
First, subtract 9 from both sides of the equation:
272x = -32y - 9.
Next, divide both sides of the equation by -32 to solve for y:
y = -272/32x - 9/32.
Simplify the equation:
y = -17/2x - 9/32.
From this equation, we can determine that the slope (m) is -17/2.
To find the y-intercept (b), we set x = 0:
y = -17/2(0) - 9/32,
y = 0 - 9/32,
y = -9/32.
Therefore, the slope is -17/2 and the y-intercept is (-9/32).
First, subtract 9 from both sides of the equation:
272x = -32y - 9.
Next, divide both sides of the equation by -32 to solve for y:
y = -272/32x - 9/32.
Simplify the equation:
y = -17/2x - 9/32.
From this equation, we can determine that the slope (m) is -17/2.
To find the y-intercept (b), we set x = 0:
y = -17/2(0) - 9/32,
y = 0 - 9/32,
y = -9/32.
Therefore, the slope is -17/2 and the y-intercept is (-9/32).
1 answer