Write the equation of the line that passes through the point (6,-2) and is parallel to the line y=1/3x+8

If a line is parallel to another it has the same slope. Since the equation y = 1/3x +8 is parallel to the line we are trying to find, our second line will have the slope of 1/3x as well

This is the equation of a line:

y = mx + b

m = slope = 1/3x

b = y intercept = unknown

We have to find b to make this equation complete. How do we do this?

First plug what you know into the equation: y = 1/3x + b

Second we must solve for b. To do this plug a point that passes through the line (in this case they said (6, -2) passes through the line) into the x and y of the equation:

-2 = 1/3(6) + b

Now solve for b!

-2 = 6/3 + b

-2 = 2 + b

- 2 - 2 = b

-4 = b

The equation parallel to y=1/3x + 8 and passes through point (6, -2) is y = 1/3x - 4

The image below is the two line one a coordinate plane. As you can see, they are parallel to each other

Hope this helped!

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

a) 7x=7

step-by-step explanation: