Answer:
The equation is y = - 3x + 3
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- The rule of the slope is
→ The table has 4 point: (1, 0), (2, -3), (3, -6), (4, -9)
→ We will choose two of them to find the slope
∵ The points (1, 0) and (2, -3) lie on the line
∴ = 1 and = 2
∴ = 0 and = -3
→ Substitute these values in the rule of the slope above
∴
∴ m = -3
→ Substitute the value of the slope in the form of the equation
∴ y = - 3x + b
→ To find b substitute x and y by the coordinates of a point on the line
∵ x = 1 and y = 0
∴ 0 = - 3(1) + b
∴ 0 = - 3 + b
→ Add 3 to both sides
∴ 0 + 3 = -3 + 3 + b
∴ 3 = b
∴ b = 3
→ Substitute the value of b in the form of the equation above
∴ y = -3x + 3
The equation is y = - 3x + 3
Answer:
A. 264
Step-by-step explanation:
First, we have to find the value of x. Then we can use that to find the required arc measure.
∠M = (1/2)(arc KN - arc LN)
60 = (1/2)((18x -6) -(5x +17)) = (1/2)(13x -23) . . . . substitute and simplify
120 = 13x -23 . . . . . . . multiply by 2
143 = 13x . . . . . . . . . . add 23
11 = x . . . . . . . . . . . . . . divide by 13
__
arc KNL = (arc KN) + (arc NL) = (18x -6) +(5x +17) = 23x +11
= 23·11 +11
arc KNL = 264 . . . . degrees
Answer:
y = -5x + 7
Step-by-step explanation:
Segment bisector of the segments AB and CD will pass through the midpoint of these segments.
Midpoint of a segment is given by the coordinates =
where, and are the coordinates of the extreme ends of the segments.
Coordinates of the midpoint of AB =
= (1, 2)
Coordinates of the midpoint of CD =
= (2, -3)
Let the equation of the line will be,
Slope of the line passing through two points and is,
m =
=
= -5
Therefore, equation of the line will be passing through (1, 2) and slope (-5),
y - 2 = (-5)(x - 1)
y = -5x + 5 + 2
y = -5x + 7
7(x^2+3)(x^2-3)
I used mathpapa.com
Hope this helps!