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Aneli [31]
3 years ago
13

Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Step-by-step explanation:

first step is to find the gradient of the line which "m" on the equation

gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given

2nd step is to substitute on the equation y=mx+c

m= -½

y= 3 (you can choose any from those given points but in my case I chose point A)

x= -2

c= ? only unknown variable so we can can calculate it

substitute as shown on the picture to get c= 2

therefore our equation of the line will be y= -½x+2

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∆ ABC is isosceles with AB= AC= 7.5cm and BC= 0 cm .the height AD from A to BC, is 6cm . find the area of ∆ ABC what will be the
lora16 [44]

I have attached an image of the triangle.

BC = 9 cm

Answer:

CE = 7.2 cm

Step-by-step explanation:

In the attached triangle, we see that;

AB = AC = 7.5cm

BC = 9 cm

AD = 6cm

BC = 9cm

Formula for area of triangle is given as;

A = ½bh

Where b is base and h is height.

For the ∆ ABC with BC as base,

Area = ½ × 9 × 6 = 27 m²

Similarly, For ∆ ABC with AB as base,

Area = ½ × 7.5 × CE

Now, area from earlier is 27 cm²

Thus;

½ × 7.5 × CE = 27

Multiply both sides by 2 to get;

7.5CE = 54

CE = 54/7.5

CE = 7.2 cm

3 0
3 years ago
Write an equation in slope-intercept form of the line having the given slope and y-intercept.
pychu [463]

Answer:

The answer to your question is   y = 4/6x - 4

Step-by-step explanation:

Data

m = 4/6

P (0, -4)

slope-intercept form = ?      y = mx + b    where m is the slope and

                                                                  b is the y-intercept

Formula

           y - y1 = m(x - x1)

Substitution

           y - (-4) = 4/6(x - 0)

Simplification

           y + 4 = 4/6x

Result

                 y = 4/6x - 4

slope = 4/6  y-intercept = -4

7 0
3 years ago
What are the answers for both of those if you get it right I’ll also give you brainliest answer comment
tangare [24]

Answer:

answer 1,  135

Step-by-step explanation:

6 0
3 years ago
(3,4) and (-5,6) <br><img src="https://tex.z-dn.net/?f=%283%2C4%29%20and%20%28-5%2C6%29%20" id="TexFormula1" title="(3,4) and (-
IceJOKER [234]
(3,4) and (-5,6) are "coordinate planes".

These appear in algebra and math when you're graphing. These coordinate planes consist of "x" and "y" (x,y). The x's (which are 3 and -5 in your situation) should be graphed accordingly using the x-axis and the y's (which are 4 and 6 in your situation) should be graph accordingly using the y-axis. 
3 0
3 years ago
We have a right triangle that has am 8 meter and 21 meter leg .Find the hypotenuse
Serjik [45]

Answer:

hypotenuse is 22.47 m

Step-by-step explanation:

The length of both legs of a right angle triangle are 8m and 21 m

We need to find the hypotenuse

To find hypotenuse we use Pythagorean theorem

Hypotenuse is AC  and other two legs are AB  and BC

AC^2 = AB^2 + BC^2

Hypotenuse ^2 = 8^2 + 21^2

hypotenuse = \sqrt{8^2 + 21^2}

= \sqrt{64 + 441}

= \sqrt{505}

= 22.47

So the length of the hypotenuse is 22.47 m

4 0
3 years ago
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