Write the equations of the lines in slope-intercept form.

Question

1. The line with slope 0 that passes through the point (2, 6)

2. The line with slope 2 that passes through the point (6, 3)

 

 

Answer 1

Hello, thank you for taking the time to post your question!

In each case you’re trying to get a line in the form y = mx + b, where “m” is the slope and then “b” is the y-intercept.

On the first one we have m = 0 , then you can plug in the point to find what the value of b is

y = mx + b

6 = 2(0) + b

6 = b

So the full equation is y = 0x + 6

On the second equation then you want to follow the same process, starting with m = 2 and plugging in the point (6,3)

y = 2x + b

3 = 2(6) + b

3 = 12 + b

-9 = b

making the full equation y = 2x - 9

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

1. y = 6

 

2. y - 3 = 2(x - 6)

. . y = 2x - 12 + 3

. . y = 2x - 9