Answer:
The equation that represents the line that passes through the given points is y - 1 = (x - 3) ⇒ A
Step-by-step explanation:
The point-slope form of the linear equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
The rule of the slope is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (3, 1) and (6, 6)
∴ x1 = 3 and y1 = 1
∴ x2 = 6 and y2 = 6
→ Substitute them in the rule of the slope to find it
∵ m =
∴ m =
→ Substitute the value of x1, y1, and m in the form of the equation above
∵ y - 1 = (x - 3)
∴ The equation that represents the line that passes through the given
points is y - 1 = (x - 3)
In the slope intercept formula (y = mx + b)
the m = slope
the b = y intercept
hope this helps :)
you have to rearrange the equation to match the formula
so.....
-y = 6x - 6
m = 6x/-y = -6 (you can just see it as 6/-1 you dont have to count the x and y)
b = -6
9514 1404 393
Answer:
a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞
Step-by-step explanation:
Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.
If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.
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a) -2x -10 = -6x +4x -8 ⇒ -2x -10 = -2x -8 . . . . 0 solutions
b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution
c) -1/4x -7/2 = -3x -4 . . . . 1 solution
d) 2x -8 +x = 3x -6 -2 ⇒ 3x -8 = 3x -8 . . . . ∞ solutions
e) 3 -2/5x -12/5 = 2 -2/5x ⇒ -2/5x +3/5 = -2/5x +2 . . . . 0 solutions
f) 6x -6 +21 = 6x +15 ⇒ 6x +15 = 6x +15 . . . . ∞ solutions
17+15+b = 180 so If you do 180-(15+17) =b
Well we know 15+17 is 32 so now you do 180-32 which equals 148 so b=148
10^6 = 1,000,000
10^2 = 100
1,000,000 / 100 = 10,000
so 8.76x10^6 is 10,000 times greater than