Answer:
y=-8/5x+4
Step-by-step explanation:
The slope of perpendicular lines is the opposite reciprocal of the original equation.
To get the opposite reciprocal, flip the fraction and use the opposite sign.
Here, the slope is -8/5 because that is the opposite of 5/8.
To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.
Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.
y+4=-8/5(x-5)
Multiply (x-5) by -8/5 and simplify.
y+4=-8/5x+8
y=-8/5x+4
3.35 - 3.10 = .25
.25/3.35 = .0746
.0746*100 = 7.46 or 7.5 rounded
Answer:
d > 2
Step-by-step explanation:
Answer:
Rate of change/slope: 35
Miles at 10 hours: 350
Step-by-step explanation:
We can find the rate of change or the slope by using the slope formula below:
m = (y2-y1)/(x2-x1) where m is the slope
To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)
m = (140-70)/(4-2)
m = 70/2
m = 35
The rate of change is 35 miles per hour
To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).
y = mx + b
70 = 35(2) + b
70 = 70 + b
b = 0
So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:
y = 35(10)
y = 350
The number of miles at 10 hours is 350 miles
