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Kruka [31]
3 years ago
15

GEOMETRY HELP! What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equati

on is y=x/2+3 ?

Mathematics
1 answer:
Zarrin [17]3 years ago
7 0

A perpendicular line has the negative reciprocal slope of the given line.

The slope of the given line is x/2, which can be written as 1/2x

The negative reciprocal of 1/2 would be -2


The equation for a line is written as y = mx +b, where m is the slope and b is the y-intercept.

We already have the slope ( -2)

So we can solve for b by replacing y x and m with the slope and the point given:

8 = -2(1) +b

8 = -2 + b

b = 10


The equation would be y = -2x + 10


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Read 2 more answers
3q+4+9=-14 <br> what is Q
BlackZzzverrR [31]

Hi! Your answer is q = -9

Please see an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

Since we want to solve for q-term. That means we are going to isolate q-term.

\huge{3q+4+9=-14}

We can add 4 and 9 together.

\huge{3q+13=-14}

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

\huge{3q+13-13=-14-13}\\\huge{3q=-27}

We are reaching to the final step where we divide the whole equation by 3.

\huge{\frac{3q}{3}=-\frac{27}{3}}\\\huge{q=-9}

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!

To check the answer, simply substitute q = -9 in the equation.

\huge{3q+4+9=-14}\\\huge{3(-9)+13=-14}\\\huge{-27+13=-14}\\\huge{-14=-14}

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.

Hope this helps!

5 0
3 years ago
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