Answer:
m=-2
Explanation:
If a line passes through the points (4,5) and (2,9): to calculate the slope, use the formula below:
Substituting the points, we have:
The slope of this line is -2.
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1 answer:
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Answer:
9.4
Step-by-step explanation:
We can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2+8^2 = c^2
25 +64 = c^2
89 = c^2
Taking the square root of each side
sqrt(89) = sqrt(c^2)
9.433981132 = c
To the nearest tenth
9.4
Answer:
The equation of the tangent line passing through the point (-2,3) is
4 x + y +5 =0
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the slope of the tangent</em>
<em> </em><em></em>
<em> m = -2( 3-1) = -4</em>
<em>Given point x = -2</em>
<em> y = f(-2) =3</em>
<em>∴The given point ( x₁ , y₁) = ( -2 ,3)</em>
<u><em>Step(ii):-</em></u>
The equation of the tangent line passing through the point (-2,3)
y -3 = -4( x+2)
y-3 = -4x -8
4x + y -3+8=0
4x +y +5=0
<u><em>Step(iii):-</em></u>
<em>The equation of the tangent line passing through the point (-2,3) is</em>
<em> 4 x + y +5 =0</em>
<em></em>