Answer:
y = 2x +1
Step-by-step explanation:
The given line is in "slope-intercept" form, where the slope is the coefficient of x, 2, and the intercept is the added constant, 3. The parallel line will have the same slope, but its constant will be different. We can find the constant by putting the given point into an equation with the constant as the unknown:
y = 2x + b
-1 = 2(-1) +b . . . substitute for x and y
2 -1 = b . . . . . . add 2
1 = b
So the equation for the parallel line is ...
y = 2x + 1
Answer:
15 have only a dog
5 have a dog and a cat
9 have only a cat
Step-by-step explanation:
20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat
15 have only a dog
5 have a dog and a cat
9 have only a cat
126 students like football :)
For palarell lines, slope are equal.
slope of first line = (y2 - y1)/(x2 - x1) = (-7 - 9)/(-12 - 8) = -16/-20 = 4/5
equation of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (-5, -15) and m = 4/5.
Therefore equation of the line is y - (-15) = 4/5(x - (-5))
y + 15 = 4/5(x + 5)
If x is number of hours worked and y total pay, in y=9.5x, 9.5 is hourly rate.
Isa's hourly rate is 9.5$.
From the table: for 2 hours worked Jack earns 16.5$, for 5 hours worked 41.25$ and for 8 66$. Jack's hourly rate is 16.5$/2=8.25$.
9.5/8.25=1.15
Isa earns 9.5$ per hour and Jack earns 8.25$ per hour. Isa's hourly rate of pay is 1.15 Jack's hourly rate of pay.
