Answer:
y= mx +c
Step-by-step explanation:
The point- slope form of an equation is
y= mx +c, where m is the gradient and c is the y-intercept.
You can find the value of m by using the gradient formula.
Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.
<u>Here's an example.</u>
Point-slope form of an equation passing through (1, 2) and (5, 6).
① Finding gradient, m.
② Substitute value of m into equation.
y= 1x +c
y= x +c
③ Substitute a pair of coordinates.
when x=1, y=2,
2= 1 +c
c= 2 -1
c= 1
Thus the equation of the line is y= x +1.
Answer:
f(x)=-3x+14
Step-by-step explanation:
we have
y+1=-3(x-5)
Isolate the variable y
Distributed right side
y+1=-3x+15
Subtract 1 both sides
y=-3x+15-1
Combine like terms
y=-3x+14
Convert to function notation
Let
f(x)=y
f(x)=-3x+14
OL is perpendicular to ON, which means that there is a 90 degree angle being created between these two line segments. So, angle LON is equal to 90 degrees. Because LON is a 90 degree angle and we have two angles within it, those two angles are complimentary. We can add LOM and MON together and they will equal 90 degrees.
3x - 15 + 5x - 23 = 90
8x - 38 = 90
8x = 128
x = 16 degrees
Angle MON = 5x - 23
5(16) - 23 = 57 degrees
Angle MON = 57 degrees
Hope this helps!! :)
<span>According to the Pythagoras's theorem, The sum of the square of the hypotenuse is equal to the sum of the square of the other two sides.
</span><span>x^2 + x^2 = (29)^2 = 29 x 29 = 281
2x^2 = 841
x^2 = 841/2 = 420.5
x = sqrt(420.5) = 20.51 inches</span><span>
</span>
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