Answer: y - 19 = 2(x - 5)
Step-by-step explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The given points are (5,19) and (-5,-1)
y2 = - 1
y1 = 19
x2 = - 5
x1 = 5
Slope,m = (- 1 - 19)/(- 5 - 5) = - 20/- 10 = 2
To determine the equation, we would substitute x1 = 5, y1 = 19 and m= 2 into the point slope form equation. It becomes
y - 19 = 2(x - 5)
Answer:
$49.18
Step-by-step explanation:
Dinner cost $38.95 before tax and tip are included.
Directions say to ADD 7% tip first so,
38.95 multiplied by 7%= 2.7265, Round up to $2.73
ADD $38.95 and $2.73 tax= $41.68
Now, multiply $41.68 by 18% to find the tip amount
$41.68 * 18%= 7.5024, Round to $7.50
ADD $41.68 and $7.50 to get answer: $49.18
Answer:
y= -1/5x + 1/5
Step-by-step explanation:
y- y1 = m(x - x1)
Slope m=-1/5
(1, -4)
1 = y1
-4 = x1
y- 1 = -1/5(x-(-4))
y-1 = -1/5(x+4)
y-1= -1/5(x)+ -1/5(4)
y-1 = -1/5x + -4/5
add one to both sides
y= -1/5x + -4/5 + 1
y = -1/5x + 1/5
a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
Gradient is the slope
So slope of the line =-2
Slope of parallel line is equal to the slope of the line
So slope of parallel line = -2
Slope of perpendicular line is equal to negative reciprocal of slope of the line
We know slope of line = -2
Negative reciprocal = 
So , Slope of perpendicular line= 