Transform the linear equation 4x−8y=24 to slope intercept form
4x−8y=24
−8y=−4x+24
4x−8y−24=0
y=1/2x-3
The linear equation 4x - 8y = 24 can be transformed to slope-intercept form as follows:
-8y = -4x + 24
Dividing both sides of the equation by -8:
y = (1/2)x - 3
So the slope-intercept form of the linear equation 4x - 8y = 24 is y = (1/2)x - 3.
write y-2=2/3(x+2) in slope intercept form
To convert the equation y - 2 = (2/3)(x + 2) to slope-intercept form, we need to isolate y on one side of the equation.
First, distribute (2/3) to the expression (x + 2):
y - 2 = (2/3)x + (2/3)(2)
Simplifying the right side:
y - 2 = (2/3)x + 4/3
Next, move -2 to the right side by adding 2 to both sides of the equation:
y = (2/3)x + 4/3 + 2
Simplifying further:
y = (2/3)x + 4/3 + 6/3
Combining the fractions:
y = (2/3)x + 10/3
So, the equation y - 2 = (2/3)(x + 2) can be written in slope-intercept form as y = (2/3)x + 10/3.
Is this the correct graph of 3x−y=10
?
(1 point)
Responses
Yes, it is the correct graph because the slope is 3 and the y
-intercept is (0, −10)
.
Yes, it is the correct graph because the slope is 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
Yes, it is the correct graph because the slope is −3
and the y
-intercept is (0, −10)
.
Yes, it is the correct graph because the slope is negative 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
No, it is not the correct graph because the slope is 3 and the y
-intercept is (0, −10)
.
No, it is not the correct graph because the slope is 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .
No, it is not the correct graph because the slope is −3
and the y
-intercept is (0, −10)
.
No, it is not the correct graph because the slope is 3 and the y-intercept is (0, -10).
Identify the slope and the y
-intercept of the equation 4x−3y=12
.(1 point)
Responses
The slope is −43
, and the y-intercept is (0, 4)
.
The slope is negative Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma 4 right parenthesis .
The slope is 4, and the y-intercept is (0, 12)
.
The slope is 4, and the y-intercept is left parenthesis 0 comma 12 right parenthesis .
The slope is 43
, and the y-intercept is (0, 4)
.
The slope is Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma 4 right parenthesis .
The slope is 43
, and the y-intercept is (0, −4)
.
The slope is Start Fraction 4 over 3 End Fraction , and the y-intercept is left parenthesis 0 comma negative 4 right parenthesis .
The slope is 4, and the y-intercept is (0, 4).
that is not an answer choice
I apologize for the confusion. The correct answer choice is:
The slope is 4/3, and the y-intercept is (0, 4).
−2y=14−6x to slope-intercept form.(1 point)
y=
To convert the equation −2y = 14 − 6x to slope-intercept form, we need to isolate y on one side of the equation.
First, let's divide both sides of the equation by -2 to isolate y:
−2y = 14 − 6x
Dividing by -2:
y = -7 + 3x
Rearranging the terms, we can write it in slope-intercept form:
y = 3x - 7
0.4x+0.2y=0.6 in slope-intercept form
To convert the equation 0.4x + 0.2y = 0.6 to slope-intercept form, we need to isolate y on one side of the equation.
Let's start by subtracting 0.4x from both sides of the equation:
0.2y = -0.4x + 0.6
Next, divide both sides of the equation by 0.2 to solve for y:
y = (-0.4/0.2)x + (0.6/0.2)
Simplifying further:
y = -2x + 3
So, the equation 0.4x + 0.2y = 0.6 can be written in slope-intercept form as y = -2x + 3.
3y=6x−18 in slope-intercept form.
To convert the equation 3y = 6x - 18 to slope-intercept form, we need to isolate y on one side of the equation.
First, divide both sides of the equation by 3:
y = (6/3)x - (18/3)
Simplifying further:
y = 2x - 6
So, the equation 3y = 6x - 18 can be written in slope-intercept form as y = 2x - 6.
that is wrong
Apologies for the incorrect response. Let's solve it correctly:
To convert the equation 3y = 6x - 18 to slope-intercept form, we need to isolate y on one side of the equation.
First, divide both sides of the equation by 3:
y = (6/3)x - (18/3)
Simplifying further:
y = 2x - 6
So, the equation 3y = 6x - 18 can be written in slope-intercept form as 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.(1 point)
The slope is
. The y-intercept is (
).
To find the slope and y-intercept of the equation 9 + (27/2)x = (-3/2)y, we need to manipulate the equation into slope-intercept form (y = mx + b).
First, let's multiply both sides of the equation by (-2/3) to isolate y:
(-2/3)(9 + (27/2)x) = y
Simplifying:
(-2/3) * 9 - (2/3) * (27/2)x = y
-6 - 9x = y
So, the equation is now in the form y = -9x - 6. Therefore, the slope is -9 and the y-intercept is -6.
Expressed as an ordered pair, the y-intercept is (0, -6).