Find the equation of the line parallel to the line y=3x+1 that contains the point (4,2)

y=3x-10

Step-by-step explanation:

We know that in order to be parallel to the equation y=3x+1, our new equation has to have the same slope of 3.

Because we know the slope will be 3 and we have the point (4,2) we can plug that in to find our new y-intercept.

y=3x+b

2=3(4)+b

2=12+b

b=-10

-10 will be the y-intercept and 3 is the slope.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: