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Lady bird [3.3K]
3 years ago
9

What is the equation of the line that passes through (4,-1) and (-2,3)

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer: y-6 = 0.5 (x-8)

Step-by-step explanation:

y − y1 = m(x − x1)

The equation is useful when we know:

one point on the line: (x1,y1)

and the slope of the line: m,

and want to find other points on the line.

Have a play with it first (move the point, try different slopes):

You might be interested in
Watch help video
Evgen [1.6K]

Answer:

20 dimes and 2  quarters

Step-by-step explanation:

x = number of dimes

y  = number of quarters

minimum is greater than or equal to ≥

x+y ≥16

no more than is less than or equal to ≤ ,

value of dime is $ 0.10

value of quarter is $0.25 so

0.10x + 0.25y ≤ 3.00

Rewrite inequalities in terms of y:

y ≥16 - x

(0.25/0.25)y ≤ (3.00/0.25)-(0.10/0.25)x→

y≤12 - 0.4x

Graph system: see file

6 0
3 years ago
Which point would be a solution to the system of linear inequalities shown below? y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1 y&g
Sauron [17]

Answer:

x < \frac{20}{17} and y \ge \frac{-5}{17}

Step-by-step explanation:

Given

y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1

Required

Find x and y

In the second equation. Assume that:

y = \frac{3}{5}x - 1\\

Substitute y = \frac{3}{5}x - 1 in the first equation

y > 4x - 5

\frac{3}{5}x - 1 > 4x - 5

Collect like terms

\frac{3}{5}x - 4x >  - 5 + 1

\frac{3}{5}x - 4x >  -4

Multiply through by 5

3x - 20x > -20

-17x > -20

Solve for x

x < \frac{20}{17}

Substitute this value of x in y \ge \frac{3}{5}x - 1

y \ge \frac{3}{5}*\frac{20}{17} - 1

y \ge \frac{3}{1}*\frac{4}{17} - 1

y \ge \frac{12}{17} - 1

y \ge \frac{12- 17}{17}

y \ge \frac{-5}{17}

3 0
3 years ago
What is the fourth term in the expansion of (x + 2y)^8?
Hatshy [7]
Base on my calculation and the simplification of the form and finding its 4th power of the x+2y, i came up with a solution and finally found an answer of B. 448x^5y^3, I hope i answer your questions directly and please feel free to ask for more and ask for clarifications
4 0
3 years ago
Four times a first number decreased by a second number is - 14. The first
mel-nik [20]

Answer:

f = -5, s = -6

Step-by-step explanation:

F= first number

S= second number

4f - s = -14

f + 3s = -23

3(4f - s = -14)

12f - 3s = -42

+ f + 3s = -23

13f = -65

————

13

f = -5

4f - s = -14

4(-5) - s = -14

-20 - s = -14

+20 +20

-s = 6

———

-1

s = -6

3 0
2 years ago
Help me!! answer all ​
Sergio [31]

its blurry

Step-by-step explanation:

can you take a better picture

3 0
2 years ago
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