All categories

3 years ago

What is the slope of the line with the equation of y=-2/3x that passes through the point (2,1)

Mathematics

1 answer:

kow [346]3 years ago

5 0

Answer:

$-\frac{2}{3} = m$

Step-by-step explanation:

In the Slope-Intercept Formula, $y = mx + b$ , b represents the y-intercept, and the rate of change [slope] is represented by m, so the slope is −⅔.

I am joyous to assist you anytime.

You might be interested in

How are key features of a linear function identified and interpreted from a table, equation, and description?

Morgarella [4.7K]

Answer:

y=mx+b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Solve this quadratic equation by completing the square. x^2+10x=7

bogdanovich [222]

Ok, so the quadratic coefient is 1, so great

take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2

x=-5+4√2 and -5-4√2

3 0

2 years ago

Shirley picked out a kite for $3.50. If she gave the family a ten dollar bill, what is the fewest number of bills and coins that

Aleonysh [2.5K]

Answer:

6.50

Step-by-step explanation:

$10.00-$3.50=$6.50

4 0

3 years ago

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

pav-90 [236]

Answer:

Second option: One solution. Independent.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Since the equations of the system have this form, we know that they are lines.

We can identify that the y-intercept of the first equation $y=-5x+1$ is:

$b=1$

Now we need to find the x-intercept. Substitute $y=0$ and solve for "x":

$0=-5x+1\\\\5x=1\\\\x=\frac{1}{5}=0.2$

Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.

The y-intercept of the second equation $y=-2x-2$ is:

$b=-2$

Now we need to find the x-intercept. Substitute $y=0$ and solve for "x":

$0=-2x-2\\\\2x=-2\\\\x=\frac{-2}{2}=-1$

Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).

You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.

Since the lines intersect, then there is one solution that is true for both equations. It is independent

4 0

2 years ago

Rewrite this non-statistical question as a statistical question. How many minutes do I exercise each day?

stira [4]

Answer:

The statistical question should be

"how many minutes do I exercise on each day of the week" and "how many minutes do I exercise each day of the week whilst there is background music"

Step-by-step explanation:

Here we have the non statistical question, how many minutes do I exercise each day

We note that a statistical question is one in which there are are different variety answers, where the distribution and the inclination of the the answers is sought

Therefore, statistically, we should ask, "how many minutes do I exercise on each day of the week" or "how many minutes do I exercise each day of the week whilst there is background music".

8 0

3 years ago