Write the slope-intercept form of the line that passes through (1, -2) and is parallel to the line y = 4x + 2.
2 answers:
Use
y-y1=m(x-x1)
y-(-2)=4(x-1) Now why 4??Because parallel lines have the exact same slope
y+2=4x-4
y=4x-4-2
y=4x-6
Hope it helps!
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Parallel lines have the same slope.
Given the linear equation, y = 4x + 2:
Since the slope = 4, then we can assume that the slope of the line parallel to y = 4x + 2 will have the same slope.
We’ll use this slope and the given point, (1,-2), and plug these values into the slope-intercept form (y = mx + b) to solve for the y-intercept (b):
y = mx + b
-2 = 4(1) + b
-2 = 4 + b
Subtract 4 from both sides to isolate and solve for b:
-2 - 4 = 4 - 4 + b
-6 = b
Therefore, the y-coordinate of the y-intercept is -6 . Now, we can finally establish the linear equation of the line parallel to y = 4x + 2, which is:
y = 4x - 6.
Attached is a screenshot of the graph of both equations to show that we came up with a line parallel to the original equation.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Given the linear equation, y = 4x + 2:
Since the slope = 4, then we can assume that the slope of the line parallel to y = 4x + 2 will have the same slope.
We’ll use this slope and the given point, (1,-2), and plug these values into the slope-intercept form (y = mx + b) to solve for the y-intercept (b):
y = mx + b
-2 = 4(1) + b
-2 = 4 + b
Subtract 4 from both sides to isolate and solve for b:
-2 - 4 = 4 - 4 + b
-6 = b
Therefore, the y-coordinate of the y-intercept is -6 . Now, we can finally establish the linear equation of the line parallel to y = 4x + 2, which is:
y = 4x - 6.
Attached is a screenshot of the graph of both equations to show that we came up with a line parallel to the original equation.
Please mark my answers as the Brainliest if you find my explanations helpful :)
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Let p be the proportion. Let c be the given confidence level , n be the sample size.
Given: p=0.3, n=1180, c=0.99
The formula to find the Margin of error is
ME =
Where z (α/2) is critical value of z.
P(Z < z) = α/2
where α/2 = (1- 0.99) /2 = 0.005
P(Z < z) = 0.005
So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.
The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58
(-2.57) + (-2.58) = -5.15
-5.15/2 = -2.575
For computing margin of error consider positive z score value which is 2.575
The margin of error will be
ME =
=
= 2.575 * 0.0133
ME = 0.0342
The margin of error is 0.0342
Answer:
y = 1/2 x -2
Step-by-step explanation:
rise/run from (-6, -5) to (-4, -4) = 1/2
(rise 1, run 2)
meaning that slope (m) = 1/2
we can now rewrite our points in y=mx + b formatting:
y = mx + b
-5 = (1/2)(-6) + b
-4 = (1/2)(-4)+b
now, let's solve for b
-5 = (1/2)(-6) + b
-5 = -3 + b
-2 = b
-4 = (1/2)(-4)+b
-4 = -2 + b
-2 = b
So, the equation for our line is y = x- 2
hope this helps!! have a lovely day :)