Answer:
y = -1/4x + 3
Step-by-step explanation:
y=mx+b is the slope-intercept form, which your equation y=4x-4 is already in.
To find the perpendicular line, you must take the <u>negative reciprocal</u> of the slope.
y = -1/4x + b
Your "b" will not be the same as the given equation, since the y-intercepts will not be the same. Therefore, you must solve for it using the point given.
Plug in (4, 2) [general: (x, y)] to the corresponding spots in y = -1/4x + b.
(2) = -1/4(4) + b
2 = -1 + b
b = 3
Now that you know m and b, you can plug all the values back into the form y = mx+b.
**Remember that y and x are never plugged back in! You need two variables to have a linear line
y = -1/4x + 3 is the answer.
Answer:
X= 27/4, 6 3/4, 6.75
Answer:
20 loads
Step-by-step explanation:
2000 divided by 100 is 20
Ratio + yb better + go cry
4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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