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Leokris [45]
4 years ago
5

Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of t

he given equation.
(-4,6); y=1/4x-3
(Write an equation for the perpendicular line in slope-intercept form.)
Mathematics
2 answers:
Phantasy [73]4 years ago
6 0
The answer is y=-4/1x+6
or y=-4/1x-6
kumpel [21]4 years ago
4 0

NOTE: Perpendicular line have opposite(negative) reciprocal slope


For the line y = 1/4x - 3 it has slope of 1/4

but the perpendicular line with point (-4,6) has slope of -4 (negative reciprocal)


(y - y1) = m (x - x1)

(y - 6 ) = -4 (x --4)

(y - 6) = -4 (x + 4)

y - 6 = -4x -16

y = -4x -16 + 6

y = -4x -10

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Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

y=x+3.......(1)\\4x+y=18.....(2)

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

4x+x+3=18\\5x=18-3\\5x=15\\x=3

substitute the value of x=3 in equation (1) we get,

y=3+3\\y=6

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0
2 years ago
A student expanded an expression, as shown. Is the student's work correct? Explain why or why not.
alex41 [277]
The work is incorrect.

(-6) multiplies both terms inside parentheses. For some reason, the student changed the sign of that multiplier for the second term. The second term of the result should have a positive sign, the result of multiplying (-6)(-2/13) = +12/13.
4 0
3 years ago
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Solve for z z+9/2 = -3 A. –15 B. –10 C. 3 D. 8
Anuta_ua [19.1K]
You are given z+9/2 = -3. You are required to get the value of z. Since the equation is an example of an equality, you can easily get the value of z. The solution of the problem is,   Z + 9/2 = -3 Z = -3 – 9/2 <u>Z = -15/2 or -7.5</u> <span>There given choices does not contain the correct answer.</span>
3 0
3 years ago
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“ write the equation of the line that goes through the point (6,3) and is parallel to y=-2/3x+5 “ ????
brilliants [131]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{2}{3} x + 5 ← is in slope- intercept form

with slope m = - \frac{2}{3}

Parallel lines have equal slopes, thus

y = - \frac{2}{3} x + c ← is the partial equation of the line

To find c substitute (6, 3) into the partial equation

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - \frac{2}{3} x + 7 ← equation of line

5 0
3 years ago
An old home has a very steep roof. For every four feet of run, it has three feet of rise. What is the pitch or slope of the roof
RUDIKE [14]

Hey there!

\large\boxed{\frac{3}{4} \:\:or\:\: 0.75}

The formula for slope is rise over run.

If the rise is 3 feet and the run is 4 feet, then the slope, or the pitch, is 3/4.

This can be written in decimal form as 0.75.

Hope this helps!

5 0
3 years ago
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