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Roman55 [17]
2 years ago
11

Find the equation of a line passing through (3,4) and slope of -2

Mathematics
2 answers:
guapka [62]2 years ago
3 0

Answer: <em>2x + y = 10</em>

Step-by-step explanation: When we're given a point and a slope, we can use the point-slope formula to write the equation of a line.

The point-slope formula is y - y₁ = m(x - x₁).

Now we can substitute our point and our slope into the formula.

y - 4 = -2(x - 3)

~distribute

y - 4 = -2x + 6

~isolate y

y = -2x + 10

~put into standard form

2x + y = 10

Orlov [11]2 years ago
3 0

Answer:

y=-2x+10

Step-by-step explanation:

To find the equation in forms of y=mx+b, first we must put in the slope(or m) which is -2, so we have:

y = -2x+b

Now, we can find the y intercept(or b) by plugging in our x and y values that the line passes through:

4 = -2(3)+b

4=-6 + b

10 = b so we have y = -2x+10

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4 0
3 years ago
Determine if line AB is tangent to the circle.
galina1969 [7]

Answer:

<em>Is a tangent</em>

Step-by-step explanation:

<em>* Great question by the way *</em>

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

<em>x = 8</em>

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition <em>AB is a tangent</em>

7 0
3 years ago
Ac=4 bx=y+4 what is the value of y
Kitty [74]
Ac=4 bx=y+4 doesn't make sense.  Perhaps you meant <span>Ac-4bx=y+4.  If this is not correct, ensure that you have copied down the original problem correctly.

</span>To solve  Ac-4bx=y+4  for y, subtract 4 from both sides of this equation.  You'll get:

Ac-4bx-4 = y+4 - 4, or y = ac-4bx - 4.
6 0
3 years ago
Help me please <br>i need x​
kicyunya [14]

Answer:

x=42

Step-by-step explanation:

Just do 24/32 on calculator to get .75

Then multiply .75 by 56, the side you are looking for to get 42

5 0
2 years ago
Evaluate the expression a2+6ab for a=−3 and b=4.
inn [45]
First you plug in the variables:

(-3)(2)+(6)(-3)(4)

Multiply:
-6+(-18)(4) 
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Add and your answer comes out to be:
-78

5 0
3 years ago
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