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2 years ago

Please answer correctly

Mathematics

2 answers:

mrs_skeptik [129]2 years ago

7 0

Answer:

y=2x-1

Step-by-step explanation:

up 2 right 1 for slope

y intercept is -1

melomori [17]2 years ago

7 0

Answer:

$\boxed{(b) \: y = 2x - 1}$

Step-by-step explanation:

<h3>Find the gradient </h3>

( 2,3 ) and ( 0, -1)

$m = \frac{y2 - y1}{x2 - x1} = \frac{ - 1 - 3}{0 - 2} = \frac{ - 4}{ - 2} = 2$

Gradient is 2

<h3>Find linear equation</h3>

y - y1 = m ( x - x1 )

y - 3 = 2 ( x - 2 )

y - 3 = 2x - 4

y = 2x - 4 + 3

$\boxed{y = 2x - 1}$

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BEST ANSWER GETS BRAINLIEST!! HELP PLEASE.

Goshia [24]

Answer:

$\text{The area of parallelogram is }8 ft^2$

$\text{The area of two triangles of equal area is }4 ft^2$

Step-by-step explanation:

Given a parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.

Part A: we have to find the area of ABCD.

$\text{Area of parallelogram=}Base\times height$

$=9\times \frac{8}{9}=8 ft^2$

$\text{The area of parallelogram is }8 ft^2$

Part B:

We have to decompose this parallelogram into two triangles.

Join diagonal AC

As the diagonal of parallelogram divides it into two congruent triangles of equal area

Hence, the area of each triangle is

$\frac{1}{2}ar(ABCD)$

$\frac{1}{2}\times 4=4 ft^2$

$\text{The area of two triangles of equal area is }4 ft^2$

3 0

3 years ago

Graph a line that contains the point (-5,-3) and has a slope of -2

Tpy6a [65]

Answer:

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Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as $-\frac{2}{1}$

$\frac{rise}{run} =\frac{-2}{1}$ and $\frac{rise}{run} =\frac{2}{-1}$ **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: $\frac{rise}{run} =\frac{y-axis}{x-axis}$ . Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.