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3 years ago

Equation of the line that goes through the points (0, -2) and (-5, 3).

Mathematics

1 answer:

garik1379 [7]3 years ago

6 0

Answer:

3,5

Step-by-step explanation:

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

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

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

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

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

Part 2) we have

(6,2) (7,5)

Find the slope

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

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

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

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

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

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

Can anyone help me with number 10?

34kurt

Do you still need help?

6 0

3 years ago

A car travels a distance of 50 km in 30 minutes. what is the average speed

maks197457 [2]

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

7 0

3 years ago

Winnie needs to spend $120 on two kinds of fancy cakes:

Ainat [17]

Answer:

Winnie needs to buy 6 slices of Coffee cake.

Step-by-step explanation:

12 * 5= $60 (chocolate cake)

120 - 60= 60

since we know the coffee cake costs $10(per slice) we do:

60/ $10= 6 slices of coffee cake.

3 0

3 years ago

Which is a factor of 20 but not a multiple of 2

Delicious77 [7]

$20|2 \\ 10|2 \\ 5 \ |5 \\ 1 \\\\\boxed{ 5} \ it's \ a \ multiple \ of \ 20 , \ but \ it's \ not \ a \ multiple \ of \ 2$

7 0

3 years ago

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