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2 years ago

In this graph, the y-intercept of the line is 2 The equation of the line is y = 2 x +2

Mathematics

2 answers:

Damm [24]2 years ago

8 0

Keep adding 2 over 1 on the right and down 2 back one on the left

devlian [24]2 years ago

6 0

Answer:

Once your equation is in slope-intercept form: "y = mx+b", the coefficient of "x" (the "m") is the slope. The constant (the "b") is the y-intercept at (0, b).

Step-by-step explanation:

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Solve the following system of equations<br>2x – 3y = 6<br>4x+2y=4

FinnZ [79.3K]

Answer:

$\boxed{(\frac{3}{2} ,-1)}$

Step-by-step explanation:

$\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.$

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

$2x-3y=6 \rightarrow -4x+6y=-12$

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

$\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.$

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

$8y=-8$

Divide both sides by 8.

$y=-1$

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

$4x +2(-1)=4$

Simplify.

$4x -2=4$

Add 2 to both sides.

$4x=6$

Divide both sides by 4.

$x=\frac{6}{4} \rightarrow\frac{3}{2}$

The final answer is $x=\frac{3}{2} ,~y=-1$ .

$(\frac{3}{2} ,-1)$

5 0

2 years ago

In a 45-45-90 triangle, what is the length of the hypotenuse if the length of one of the legs is 5 in.?

IgorC [24]

You could use the Pythagorean Theorem to find this. Since the two legs will be the same length:
5² + 5² = c²
25 + 25 = c²
50 = c²
√50 = √c²
5√2 = c
so the hypotenuse length is 5√2

6 0

3 years ago

If x^2 + 1/x^2 = 98 find x + 1/x<br><br>

Pavel [41]

Given,

x
2
+
x
2

1

=98

(x+
x
1

)
2
=x
2
+
x
2

1

+2

98+2=100

∴x+
x
1

=10

(x+
x
1

)
3
=x
3
+
x
3

1

+3(x+
x
1

)

x
3
+
x
3

1

+3(x+
x
1

)=1000

x
3
+
x
3

1

=1000−3(10)=

5 0

2 years ago

What is the distance between he points (5,14) and (18,3)

Gemiola [76]

the distance bewteen points (x1,y1) and (x2,y2) is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$