All categories

3 years ago

Write the equation of the line which passes through the points (-2,6) and (3, 1).

Mathematics

1 answer:

belka [17]3 years ago

7 0

Answer:

y = - x + 4

Step-by-step explanation:

gradient = change in y/change in x

1-6/3--2= -5/5 = -1

y= -x + c

1=-3+c

c=4

equation of line =

y= -x + 4

You might be interested in

There are 8 boys in a class of 15 students. (a) what is the ratio of boys to girls? (b) whatis the ratio of all students in clas

Kisachek [45]

8/15 and all students to girl is 8+15 so 23/15

6 0

3 years ago

Read 2 more answers

What is the surface area of the figure below? Round your answer to the nearest whole number.

Strike441 [17]

Answer:

I believe the answer is C. 674 because the surface area of the pyramid is approx. 682.64569.

Step-by-step explanation:

I'm sorry I could be of more help.

3 0

2 years ago

Read 2 more answers

Complete the equation of the line through (-9,7) & (-6,-3)

scZoUnD [109]

Answer:

$y=-\frac{10}{3}x-23$

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3-7}{-6+9}$

$m=-\frac{10}{3}$

step 2

Find the equation in point slope form

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

we have

$m=-\frac{10}{3}$

$(x1,y1)=(-6,-3)$

substitute

$y+3=-\frac{10}{3}(x+6)$ ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=-\frac{10}{3}(x+6)$

Isolate the variable y

Distribute right side

$y+3=-\frac{10}{3}x-20$

subtract 3 both sides

$y=-\frac{10}{3}x-20-3$

$y=-\frac{10}{3}x-23$

7 0

3 years ago

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

kati45 [8]

Answer:

Option: D is correct.

Step-by-step explanation:

since we are given a inequality as:

$y$

Clearly from the graph of the following inequality we could see that the origin is included in the shaded region and the shaded area is below the line.

Also it could be seen that if we put the origin points i.e. (0,0) in the inequality than 0<2 and the condition is true and hence origin is included in the shaded area.

Hence, option D is true.

6 0

3 years ago

Mr. Benson built a play area for his children and an office for himself Explain how he can find the amount of carpet he needs to

ohaa [14]

Answer:

250 ft sq in total

Step-by-step explanation:

This is the amount of carpet needed

4 0

3 years ago