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3 years ago

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

Mathematics

2 answers:

Anastasy [175]3 years ago

8 0

Answer:

Equation of line is:

$y=3x-\dfrac{13}{2}$

Step-by-step explanation:

Let equation of line be y=mx+c

where m is the slope of line and c is the y-intercept

Line passes through (2, -1/2) and has a slope of 3

i.e. (x,y)=(2, -1/2) and m=3

i.e.

$-\dfrac{1}{2}=3\times 2+c\\ \\c= -\dfrac{1}{2}-6\\ \\c= -\dfrac{13}{2}$

So, equation of line is:

$y=3x-\dfrac{13}{2}$

stealth61 [152]3 years ago

3 0

We can use the point-slope from of a line to find this equation. The general equation is:

$y-y_{1}=m(x-x_{1}$

So then, if the subscripted letters are respective to the point (2, -1/2), and m is equal to the slope (3) then we can put together the equation:

$y-(-\frac{1}{2} )=3(x-2)$

Then we can simplify:

$y+\frac{1}{2} =3x-6$

$y=3x+5\frac{1}{2}$ or $y=3x+\frac{11}{2}$

You might be interested in

n the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in

IRINA_888 [86]

Answer:

There are no real solutions.

Step-by-step explanation:

There are 3 options.

2 real solutions: This happens if in the graph, each arm intersects the x-axis, this means that there are two different values of x such that the equation:

a*x^2 + b*x + c

is equal to zero.

Another way to see this, is if the determinant:

b^2 - 4*a*c

is larger than zero.

1 real solution: This happens when the vertex of the graph intersects the x-axis. This means that there is a single value of x such that:

a*x^2 + b*x + c

is equal to zero.

Another way to see this is if the determinant:

b^2 - 4*a*c

is larger equal zero.

No real solution: if in the graph we can not see any intersection of the x-axis, then we do not have real solutions (only complex ones).

Another way to see this is if the determinant:

b^2 - 4*a*c

is smaller than zero.

Now that we know this, let's look at the graph.

We can see that the vertex is below the x-axis, and the arms of the graph go downwards. So the arms will never intersect the x-axis (and neither the vertex).

So the graph does not intersect the x-axis at any point, which means that there are no real solutions for the quadratic equation.

The correct answer would be "none"

3 0

3 years ago

How many shirts were sold for 13 or more

muminat

Add all the numbers for 13, 14 , 15 and 16 which is 6+4 +0 +2 = 12

so 12 shirts

and one sock with pink toes

6 0

3 years ago

What is the value of n? Enter your answer in the box. n = cm